# restricted divisors of the first 1000 positive integers

In the table below, the proper divisors (or restricted divisors) of the first thousand positive integers are listed in the right column. That is, given divisors $1,d_{2},\ldots,d_{k-1},n$, with $k$ being the total number of divisors and $d_{k}=n$, only $d_{2}$ through $d_{k-1}$ are listed in the table below.

 $n$ Divisors $1 1 None 2 None 3 None 4 2 5 None 6 2, 3 7 None 8 2, 4 9 3 10 2, 5 11 None 12 2, 3, 4, 6 13 None 14 2, 7 15 3, 5 16 2, 4, 8 17 None 18 2, 3, 6, 9 19 None 20 2, 4, 5, 10 21 3, 7 22 2, 11 23 None 24 2, 3, 4, 6, 8, 12 25 5 26 2, 13 27 3, 9 28 2, 4, 7, 14 29 None 30 2, 3, 5, 6, 10, 15 31 None 32 2, 4, 8, 16 33 3, 11 34 2, 17 35 5, 7 36 2, 3, 4, 6, 9, 12, 18 37 None 38 2, 19 39 3, 13 40 2, 4, 5, 8, 10, 20 41 None 42 2, 3, 6, 7, 14, 21 43 None 44 2, 4, 11, 22 45 3, 5, 9, 15 46 2, 23 47 None 48 2, 3, 4, 6, 8, 12, 16, 24 49 7 50 2, 5, 10, 25 51 3, 17 52 2, 4, 13, 26 53 None 54 2, 3, 6, 9, 18, 27 55 5, 11 56 2, 4, 7, 8, 14, 28 57 3, 19 58 2, 29 59 None 60 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 61 None 62 2, 31 63 3, 7, 9, 21 64 2, 4, 8, 16, 32 65 5, 13 66 2, 3, 6, 11, 22, 33 67 None 68 2, 4, 17, 34 69 3, 23 70 2, 5, 7, 10, 14, 35 71 None 72 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 73 None 74 2, 37 75 3, 5, 15, 25 76 2, 4, 19, 38 77 7, 11 78 2, 3, 6, 13, 26, 39 79 None 80 2, 4, 5, 8, 10, 16, 20, 40 81 3, 9, 27 82 2, 41 83 None 84 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 85 5, 17 86 2, 43 87 3, 29 88 2, 4, 8, 11, 22, 44 89 None 90 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 91 7, 13 92 2, 4, 23, 46 93 3, 31 94 2, 47 95 5, 19 96 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 97 None 98 2, 7, 14, 49 99 3, 9, 11, 33 100 2, 4, 5, 10, 20, 25, 50 101 None 102 2, 3, 6, 17, 34, 51 103 None 104 2, 4, 8, 13, 26, 52 105 3, 5, 7, 15, 21, 35 106 2, 53 107 None 108 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 109 None 110 2, 5, 10, 11, 22, 55 111 3, 37 112 2, 4, 7, 8, 14, 16, 28, 56 113 None 114 2, 3, 6, 19, 38, 57 115 5, 23 116 2, 4, 29, 58 117 3, 9, 13, 39 118 2, 59 119 7, 17 120 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 121 11 122 2, 61 123 3, 41 124 2, 4, 31, 62 125 5, 25 126 2, 3, 6, 7, 9, 14, 18, 21, 42, 63 127 None 128 2, 4, 8, 16, 32, 64 129 3, 43 130 2, 5, 10, 13, 26, 65 131 None 132 2, 3, 4, 6, 11, 12, 22, 33, 44, 66 133 7, 19 134 2, 67 135 3, 5, 9, 15, 27, 45 136 2, 4, 8, 17, 34, 68 137 None 138 2, 3, 6, 23, 46, 69 139 None 140 2, 4, 5, 7, 10, 14, 20, 28, 35, 70 141 3, 47 142 2, 71 143 11, 13 144 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 145 5, 29 146 2, 73 147 3, 7, 21, 49 148 2, 4, 37, 74 149 None 150 2, 3, 5, 6, 10, 15, 25, 30, 50, 75 151 None 152 2, 4, 8, 19, 38, 76 153 3, 9, 17, 51 154 2, 7, 11, 14, 22, 77 155 5, 31 156 2, 3, 4, 6, 12, 13, 26, 39, 52, 78 157 None 158 2, 79 159 3, 53 160 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 161 7, 23 162 2, 3, 6, 9, 18, 27, 54, 81 163 None 164 2, 4, 41, 82 165 3, 5, 11, 15, 33, 55 166 2, 83 167 None 168 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84 169 13 170 2, 5, 10, 17, 34, 85 171 3, 9, 19, 57 172 2, 4, 43, 86 173 None 174 2, 3, 6, 29, 58, 87 175 5, 7, 25, 35 176 2, 4, 8, 11, 16, 22, 44, 88 177 3, 59 178 2, 89 179 None 180 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90 181 None 182 2, 7, 13, 14, 26, 91 183 3, 61 184 2, 4, 8, 23, 46, 92 185 5, 37 186 2, 3, 6, 31, 62, 93 187 11, 17 188 2, 4, 47, 94 189 3, 7, 9, 21, 27, 63 190 2, 5, 10, 19, 38, 95 191 None 192 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96 193 None 194 2, 97 195 3, 5, 13, 15, 39, 65 196 2, 4, 7, 14, 28, 49, 98 197 None 198 2, 3, 6, 9, 11, 18, 22, 33, 66, 99 199 None 200 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 201 3, 67 202 2, 101 203 7, 29 204 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 205 5, 41 206 2, 103 207 3, 9, 23, 69 208 2, 4, 8, 13, 16, 26, 52, 104 209 11, 19 210 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 211 None 212 2, 4, 53, 106 213 3, 71 214 2, 107 215 5, 43 216 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 217 7, 31 218 2, 109 219 3, 73 220 2, 4, 5, 10, 11, 20, 22, 44, 55, 110 221 13, 17 222 2, 3, 6, 37, 74, 111 223 None 224 2, 4, 7, 8, 14, 16, 28, 32, 56, 112 225 3, 5, 9, 15, 25, 45, 75 226 2, 113 227 None 228 2, 3, 4, 6, 12, 19, 38, 57, 76, 114 229 None 230 2, 5, 10, 23, 46, 115 231 3, 7, 11, 21, 33, 77 232 2, 4, 8, 29, 58, 116 233 None 234 2, 3, 6, 9, 13, 18, 26, 39, 78, 117 235 5, 47 236 2, 4, 59, 118 237 3, 79 238 2, 7, 14, 17, 34, 119 239 None 240 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 241 None 242 2, 11, 22, 121 243 3, 9, 27, 81 244 2, 4, 61, 122 245 5, 7, 35, 49 246 2, 3, 6, 41, 82, 123 247 13, 19 248 2, 4, 8, 31, 62, 124 249 3, 83 250 2, 5, 10, 25, 50, 125 251 None 252 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126 253 11, 23 254 2, 127 255 3, 5, 15, 17, 51, 85 256 2, 4, 8, 16, 32, 64, 128 257 None 258 2, 3, 6, 43, 86, 129 259 7, 37 260 2, 4, 5, 10, 13, 20, 26, 52, 65, 130 261 3, 9, 29, 87 262 2, 131 263 None 264 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132 265 5, 53 266 2, 7, 14, 19, 38, 133 267 3, 89 268 2, 4, 67, 134 269 None 270 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135 271 None 272 2, 4, 8, 16, 17, 34, 68, 136 273 3, 7, 13, 21, 39, 91 274 2, 137 275 5, 11, 25, 55 276 2, 3, 4, 6, 12, 23, 46, 69, 92, 138 277 None 278 2, 139 279 3, 9, 31, 93 280 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140 281 None 282 2, 3, 6, 47, 94, 141 283 None 284 2, 4, 71, 142 285 3, 5, 15, 19, 57, 95 286 2, 11, 13, 22, 26, 143 287 7, 41 288 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 289 17 290 2, 5, 10, 29, 58, 145 291 3, 97 292 2, 4, 73, 146 293 None 294 2, 3, 6, 7, 14, 21, 42, 49, 98, 147 295 5, 59 296 2, 4, 8, 37, 74, 148 297 3, 9, 11, 27, 33, 99 298 2, 149 299 13, 23 300 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 301 7, 43 302 2, 151 303 3, 101 304 2, 4, 8, 16, 19, 38, 76, 152 305 5, 61 306 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 307 None 308 2, 4, 7, 11, 14, 22, 28, 44, 77, 154 309 3, 103 310 2, 5, 10, 31, 62, 155 311 None 312 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156 313 None 314 2, 157 315 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 316 2, 4, 79, 158 317 None 318 2, 3, 6, 53, 106, 159 319 11, 29 320 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160 321 3, 107 322 2, 7, 14, 23, 46, 161 323 17, 19 324 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162 325 5, 13, 25, 65 326 2, 163 327 3, 109 328 2, 4, 8, 41, 82, 164 329 7, 47 330 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 331 None 332 2, 4, 83, 166 333 3, 9, 37, 111 334 2, 167 335 5, 67 336 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168 337 None 338 2, 13, 26, 169 339 3, 113 340 2, 4, 5, 10, 17, 20, 34, 68, 85, 170 341 11, 31 342 2, 3, 6, 9, 18, 19, 38, 57, 114, 171 343 7, 49 344 2, 4, 8, 43, 86, 172 345 3, 5, 15, 23, 69, 115 346 2, 173 347 None 348 2, 3, 4, 6, 12, 29, 58, 87, 116, 174 349 None 350 2, 5, 7, 10, 14, 25, 35, 50, 70, 175 351 3, 9, 13, 27, 39, 117 352 2, 4, 8, 11, 16, 22, 32, 44, 88, 176 353 None 354 2, 3, 6, 59, 118, 177 355 5, 71 356 2, 4, 89, 178 357 3, 7, 17, 21, 51, 119 358 2, 179 359 None 360 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 361 19 362 2, 181 363 3, 11, 33, 121 364 2, 4, 7, 13, 14, 26, 28, 52, 91, 182 365 5, 73 366 2, 3, 6, 61, 122, 183 367 None 368 2, 4, 8, 16, 23, 46, 92, 184 369 3, 9, 41, 123 370 2, 5, 10, 37, 74, 185 371 7, 53 372 2, 3, 4, 6, 12, 31, 62, 93, 124, 186 373 None 374 2, 11, 17, 22, 34, 187 375 3, 5, 15, 25, 75, 125 376 2, 4, 8, 47, 94, 188 377 13, 29 378 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 379 None 380 2, 4, 5, 10, 19, 20, 38, 76, 95, 190 381 3, 127 382 2, 191 383 None 384 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 385 5, 7, 11, 35, 55, 77 386 2, 193 387 3, 9, 43, 129 388 2, 4, 97, 194 389 None 390 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195 391 17, 23 392 2, 4, 7, 8, 14, 28, 49, 56, 98, 196 393 3, 131 394 2, 197 395 5, 79 396 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198 397 None 398 2, 199 399 3, 7, 19, 21, 57, 133 400 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200 401 None 402 2, 3, 6, 67, 134, 201 403 13, 31 404 2, 4, 101, 202 405 3, 5, 9, 15, 27, 45, 81, 135 406 2, 7, 14, 29, 58, 203 407 11, 37 408 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204 409 None 410 2, 5, 10, 41, 82, 205 411 3, 137 412 2, 4, 103, 206 413 7, 59 414 2, 3, 6, 9, 18, 23, 46, 69, 138, 207 415 5, 83 416 2, 4, 8, 13, 16, 26, 32, 52, 104, 208 417 3, 139 418 2, 11, 19, 22, 38, 209 419 None 420 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 421 None 422 2, 211 423 3, 9, 47, 141 424 2, 4, 8, 53, 106, 212 425 5, 17, 25, 85 426 2, 3, 6, 71, 142, 213 427 7, 61 428 2, 4, 107, 214 429 3, 11, 13, 33, 39, 143 430 2, 5, 10, 43, 86, 215 431 None 432 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 433 None 434 2, 7, 14, 31, 62, 217 435 3, 5, 15, 29, 87, 145 436 2, 4, 109, 218 437 19, 23 438 2, 3, 6, 73, 146, 219 439 None 440 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220 441 3, 7, 9, 21, 49, 63, 147 442 2, 13, 17, 26, 34, 221 443 None 444 2, 3, 4, 6, 12, 37, 74, 111, 148, 222 445 5, 89 446 2, 223 447 3, 149 448 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224 449 None 450 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225 451 11, 41 452 2, 4, 113, 226 453 3, 151 454 2, 227 455 5, 7, 13, 35, 65, 91 456 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228 457 None 458 2, 229 459 3, 9, 17, 27, 51, 153 460 2, 4, 5, 10, 20, 23, 46, 92, 115, 230 461 None 462 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231 463 None 464 2, 4, 8, 16, 29, 58, 116, 232 465 3, 5, 15, 31, 93, 155 466 2, 233 467 None 468 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234 469 7, 67 470 2, 5, 10, 47, 94, 235 471 3, 157 472 2, 4, 8, 59, 118, 236 473 11, 43 474 2, 3, 6, 79, 158, 237 475 5, 19, 25, 95 476 2, 4, 7, 14, 17, 28, 34, 68, 119, 238 477 3, 9, 53, 159 478 2, 239 479 None 480 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 481 13, 37 482 2, 241 483 3, 7, 21, 23, 69, 161 484 2, 4, 11, 22, 44, 121, 242 485 5, 97 486 2, 3, 6, 9, 18, 27, 54, 81, 162, 243 487 None 488 2, 4, 8, 61, 122, 244 489 3, 163 490 2, 5, 7, 10, 14, 35, 49, 70, 98, 245 491 None 492 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 493 17, 29 494 2, 13, 19, 26, 38, 247 495 3, 5, 9, 11, 15, 33, 45, 55, 99, 165 496 2, 4, 8, 16, 31, 62, 124, 248 497 7, 71 498 2, 3, 6, 83, 166, 249 499 None 500 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 501 3, 167 502 2, 251 503 None 504 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 505 5, 101 506 2, 11, 22, 23, 46, 253 507 3, 13, 39, 169 508 2, 4, 127, 254 509 None 510 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255 511 7, 73 512 2, 4, 8, 16, 32, 64, 128, 256 513 3, 9, 19, 27, 57, 171 514 2, 257 515 5, 103 516 2, 3, 4, 6, 12, 43, 86, 129, 172, 258 517 11, 47 518 2, 7, 14, 37, 74, 259 519 3, 173 520 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260 521 None 522 2, 3, 6, 9, 18, 29, 58, 87, 174, 261 523 None 524 2, 4, 131, 262 525 3, 5, 7, 15, 21, 25, 35, 75, 105, 175 526 2, 263 527 17, 31 528 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264 529 23 530 2, 5, 10, 53, 106, 265 531 3, 9, 59, 177 532 2, 4, 7, 14, 19, 28, 38, 76, 133, 266 533 13, 41 534 2, 3, 6, 89, 178, 267 535 5, 107 536 2, 4, 8, 67, 134, 268 537 3, 179 538 2, 269 539 7, 11, 49, 77 540 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 541 None 542 2, 271 543 3, 181 544 2, 4, 8, 16, 17, 32, 34, 68, 136, 272 545 5, 109 546 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273 547 None 548 2, 4, 137, 274 549 3, 9, 61, 183 550 2, 5, 10, 11, 22, 25, 50, 55, 110, 275 551 19, 29 552 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276 553 7, 79 554 2, 277 555 3, 5, 15, 37, 111, 185 556 2, 4, 139, 278 557 None 558 2, 3, 6, 9, 18, 31, 62, 93, 186, 279 559 13, 43 560 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280 561 3, 11, 17, 33, 51, 187 562 2, 281 563 None 564 2, 3, 4, 6, 12, 47, 94, 141, 188, 282 565 5, 113 566 2, 283 567 3, 7, 9, 21, 27, 63, 81, 189 568 2, 4, 8, 71, 142, 284 569 None 570 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285 571 None 572 2, 4, 11, 13, 22, 26, 44, 52, 143, 286 573 3, 191 574 2, 7, 14, 41, 82, 287 575 5, 23, 25, 115 576 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 577 None 578 2, 17, 34, 289 579 3, 193 580 2, 4, 5, 10, 20, 29, 58, 116, 145, 290 581 7, 83 582 2, 3, 6, 97, 194, 291 583 11, 53 584 2, 4, 8, 73, 146, 292 585 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 586 2, 293 587 None 588 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 589 19, 31 590 2, 5, 10, 59, 118, 295 591 3, 197 592 2, 4, 8, 16, 37, 74, 148, 296 593 None 594 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297 595 5, 7, 17, 35, 85, 119 596 2, 4, 149, 298 597 3, 199 598 2, 13, 23, 26, 46, 299 599 None 600 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 601 None 602 2, 7, 14, 43, 86, 301 603 3, 9, 67, 201 604 2, 4, 151, 302 605 5, 11, 55, 121 606 2, 3, 6, 101, 202, 303 607 None 608 2, 4, 8, 16, 19, 32, 38, 76, 152, 304 609 3, 7, 21, 29, 87, 203 610 2, 5, 10, 61, 122, 305 611 13, 47 612 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306 613 None 614 2, 307 615 3, 5, 15, 41, 123, 205 616 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308 617 None 618 2, 3, 6, 103, 206, 309 619 None 620 2, 4, 5, 10, 20, 31, 62, 124, 155, 310 621 3, 9, 23, 27, 69, 207 622 2, 311 623 7, 89 624 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312 625 5, 25, 125 626 2, 313 627 3, 11, 19, 33, 57, 209 628 2, 4, 157, 314 629 17, 37 630 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 631 None 632 2, 4, 8, 79, 158, 316 633 3, 211 634 2, 317 635 5, 127 636 2, 3, 4, 6, 12, 53, 106, 159, 212, 318 637 7, 13, 49, 91 638 2, 11, 22, 29, 58, 319 639 3, 9, 71, 213 640 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320 641 None 642 2, 3, 6, 107, 214, 321 643 None 644 2, 4, 7, 14, 23, 28, 46, 92, 161, 322 645 3, 5, 15, 43, 129, 215 646 2, 17, 19, 34, 38, 323 647 None 648 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 649 11, 59 650 2, 5, 10, 13, 25, 26, 50, 65, 130, 325 651 3, 7, 21, 31, 93, 217 652 2, 4, 163, 326 653 None 654 2, 3, 6, 109, 218, 327 655 5, 131 656 2, 4, 8, 16, 41, 82, 164, 328 657 3, 9, 73, 219 658 2, 7, 14, 47, 94, 329 659 None 660 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 661 None 662 2, 331 663 3, 13, 17, 39, 51, 221 664 2, 4, 8, 83, 166, 332 665 5, 7, 19, 35, 95, 133 666 2, 3, 6, 9, 18, 37, 74, 111, 222, 333 667 23, 29 668 2, 4, 167, 334 669 3, 223 670 2, 5, 10, 67, 134, 335 671 11, 61 672 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336 673 None 674 2, 337 675 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 676 2, 4, 13, 26, 52, 169, 338 677 None 678 2, 3, 6, 113, 226, 339 679 7, 97 680 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340 681 3, 227 682 2, 11, 22, 31, 62, 341 683 None 684 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342 685 5, 137 686 2, 7, 14, 49, 98, 343 687 3, 229 688 2, 4, 8, 16, 43, 86, 172, 344 689 13, 53 690 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345 691 None 692 2, 4, 173, 346 693 3, 7, 9, 11, 21, 33, 63, 77, 99, 231 694 2, 347 695 5, 139 696 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348 697 17, 41 698 2, 349 699 3, 233 700 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350 701 None 702 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351 703 19, 37 704 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352 705 3, 5, 15, 47, 141, 235 706 2, 353 707 7, 101 708 2, 3, 4, 6, 12, 59, 118, 177, 236, 354 709 None 710 2, 5, 10, 71, 142, 355 711 3, 9, 79, 237 712 2, 4, 8, 89, 178, 356 713 23, 31 714 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357 715 5, 11, 13, 55, 65, 143 716 2, 4, 179, 358 717 3, 239 718 2, 359 719 None 720 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360 721 7, 103 722 2, 19, 38, 361 723 3, 241 724 2, 4, 181, 362 725 5, 25, 29, 145 726 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 727 None 728 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 729 3, 9, 27, 81, 243 730 2, 5, 10, 73, 146, 365 731 17, 43 732 2, 3, 4, 6, 12, 61, 122, 183, 244, 366 733 None 734 2, 367 735 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 736 2, 4, 8, 16, 23, 32, 46, 92, 184, 368 737 11, 67 738 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 739 None 740 2, 4, 5, 10, 20, 37, 74, 148, 185, 370 741 3, 13, 19, 39, 57, 247 742 2, 7, 14, 53, 106, 371 743 None 744 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372 745 5, 149 746 2, 373 747 3, 9, 83, 249 748 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 749 7, 107 750 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375 751 None 752 2, 4, 8, 16, 47, 94, 188, 376 753 3, 251 754 2, 13, 26, 29, 58, 377 755 5, 151 756 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378 757 None 758 2, 379 759 3, 11, 23, 33, 69, 253 760 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380 761 None 762 2, 3, 6, 127, 254, 381 763 7, 109 764 2, 4, 191, 382 765 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 766 2, 383 767 13, 59 768 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 769 None 770 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385 771 3, 257 772 2, 4, 193, 386 773 None 774 2, 3, 6, 9, 18, 43, 86, 129, 258, 387 775 5, 25, 31, 155 776 2, 4, 8, 97, 194, 388 777 3, 7, 21, 37, 111, 259 778 2, 389 779 19, 41 780 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 781 11, 71 782 2, 17, 23, 34, 46, 391 783 3, 9, 27, 29, 87, 261 784 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 785 5, 157 786 2, 3, 6, 131, 262, 393 787 None 788 2, 4, 197, 394 789 3, 263 790 2, 5, 10, 79, 158, 395 791 7, 113 792 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396 793 13, 61 794 2, 397 795 3, 5, 15, 53, 159, 265 796 2, 4, 199, 398 797 None 798 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399 799 17, 47 800 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400 801 3, 9, 89, 267 802 2, 401 803 11, 73 804 2, 3, 4, 6, 12, 67, 134, 201, 268, 402 805 5, 7, 23, 35, 115, 161 806 2, 13, 26, 31, 62, 403 807 3, 269 808 2, 4, 8, 101, 202, 404 809 None 810 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405 811 None 812 2, 4, 7, 14, 28, 29, 58, 116, 203, 406 813 3, 271 814 2, 11, 22, 37, 74, 407 815 5, 163 816 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408 817 19, 43 818 2, 409 819 3, 7, 9, 13, 21, 39, 63, 91, 117, 273 820 2, 4, 5, 10, 20, 41, 82, 164, 205, 410 821 None 822 2, 3, 6, 137, 274, 411 823 None 824 2, 4, 8, 103, 206, 412 825 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 826 2, 7, 14, 59, 118, 413 827 None 828 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 829 None 830 2, 5, 10, 83, 166, 415 831 3, 277 832 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416 833 7, 17, 49, 119 834 2, 3, 6, 139, 278, 417 835 5, 167 836 2, 4, 11, 19, 22, 38, 44, 76, 209, 418 837 3, 9, 27, 31, 93, 279 838 2, 419 839 None 840 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420 841 29 842 2, 421 843 3, 281 844 2, 4, 211, 422 845 5, 13, 65, 169 846 2, 3, 6, 9, 18, 47, 94, 141, 282, 423 847 7, 11, 77, 121 848 2, 4, 8, 16, 53, 106, 212, 424 849 3, 283 850 2, 5, 10, 17, 25, 34, 50, 85, 170, 425 851 23, 37 852 2, 3, 4, 6, 12, 71, 142, 213, 284, 426 853 None 854 2, 7, 14, 61, 122, 427 855 3, 5, 9, 15, 19, 45, 57, 95, 171, 285 856 2, 4, 8, 107, 214, 428 857 None 858 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429 859 None 860 2, 4, 5, 10, 20, 43, 86, 172, 215, 430 861 3, 7, 21, 41, 123, 287 862 2, 431 863 None 864 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432 865 5, 173 866 2, 433 867 3, 17, 51, 289 868 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 869 11, 79 870 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 871 13, 67 872 2, 4, 8, 109, 218, 436 873 3, 9, 97, 291 874 2, 19, 23, 38, 46, 437 875 5, 7, 25, 35, 125, 175 876 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 877 None 878 2, 439 879 3, 293 880 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440 881 None 882 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 883 None 884 2, 4, 13, 17, 26, 34, 52, 68, 221, 442 885 3, 5, 15, 59, 177, 295 886 2, 443 887 None 888 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444 889 7, 127 890 2, 5, 10, 89, 178, 445 891 3, 9, 11, 27, 33, 81, 99, 297 892 2, 4, 223, 446 893 19, 47 894 2, 3, 6, 149, 298, 447 895 5, 179 896 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448 897 3, 13, 23, 39, 69, 299 898 2, 449 899 29, 31 900 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450 901 17, 53 902 2, 11, 22, 41, 82, 451 903 3, 7, 21, 43, 129, 301 904 2, 4, 8, 113, 226, 452 905 5, 181 906 2, 3, 6, 151, 302, 453 907 None 908 2, 4, 227, 454 909 3, 9, 101, 303 910 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455 911 None 912 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456 913 11, 83 914 2, 457 915 3, 5, 15, 61, 183, 305 916 2, 4, 229, 458 917 7, 131 918 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459 919 None 920 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460 921 3, 307 922 2, 461 923 13, 71 924 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462 925 5, 25, 37, 185 926 2, 463 927 3, 9, 103, 309 928 2, 4, 8, 16, 29, 32, 58, 116, 232, 464 929 None 930 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465 931 7, 19, 49, 133 932 2, 4, 233, 466 933 3, 311 934 2, 467 935 5, 11, 17, 55, 85, 187 936 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 937 None 938 2, 7, 14, 67, 134, 469 939 3, 313 940 2, 4, 5, 10, 20, 47, 94, 188, 235, 470 941 None 942 2, 3, 6, 157, 314, 471 943 23, 41 944 2, 4, 8, 16, 59, 118, 236, 472 945 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 946 2, 11, 22, 43, 86, 473 947 None 948 2, 3, 4, 6, 12, 79, 158, 237, 316, 474 949 13, 73 950 2, 5, 10, 19, 25, 38, 50, 95, 190, 475 951 3, 317 952 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476 953 None 954 2, 3, 6, 9, 18, 53, 106, 159, 318, 477 955 5, 191 956 2, 4, 239, 478 957 3, 11, 29, 33, 87, 319 958 2, 479 959 7, 137 960 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480 961 31 962 2, 13, 26, 37, 74, 481 963 3, 9, 107, 321 964 2, 4, 241, 482 965 5, 193 966 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483 967 None 968 2, 4, 8, 11, 22, 44, 88, 121, 242, 484 969 3, 17, 19, 51, 57, 323 970 2, 5, 10, 97, 194, 485 971 None 972 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486 973 7, 139 974 2, 487 975 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 976 2, 4, 8, 16, 61, 122, 244, 488 977 None 978 2, 3, 6, 163, 326, 489 979 11, 89 980 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490 981 3, 9, 109, 327 982 2, 491 983 None 984 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492 985 5, 197 986 2, 17, 29, 34, 58, 493 987 3, 7, 21, 47, 141, 329 988 2, 4, 13, 19, 26, 38, 52, 76, 247, 494 989 23, 43 990 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495 991 None 992 2, 4, 8, 16, 31, 32, 62, 124, 248, 496 993 3, 331 994 2, 7, 14, 71, 142, 497 995 5, 199 996 2, 3, 4, 6, 12, 83, 166, 249, 332, 498 997 None 998 2, 499 999 3, 9, 27, 37, 111, 333 1000 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500
Title restricted divisors of the first 1000 positive integers RestrictedDivisorsOfTheFirst1000PositiveIntegers 2013-03-22 16:52:42 2013-03-22 16:52:42 PrimeFan (13766) PrimeFan (13766) 4 PrimeFan (13766) Example msc 11A51