1-1001 Arasında ve şu özelliğe sahip sayılar buldum.
(Yazdığım bilgisayar kodu en alttadır.)x çarpma operatörü, a, b, c, d, e, f rakamlar ve Y sihirli bir sayı olmak üzere:
abc x def = Y = cba x fed
**************************************** 12 x 42 = 504 = 21 x 24 12 x 63 = 756 = 21 x 36 12 x 84 = 1008 = 21 x 48 12 x 231 = 2772 = 21 x 132 12 x 462 = 5544 = 21 x 264 12 x 693 = 8316 = 21 x 396 13 x 62 = 806 = 31 x 26 13 x 93 = 1209 = 31 x 39 13 x 341 = 4433 = 31 x 143 13 x 682 = 8866 = 31 x 286 14 x 82 = 1148 = 41 x 28 14 x 451 = 6314 = 41 x 154 15 x 561 = 8415 = 51 x 165 16 x 671 = 10736 = 61 x 176 17 x 781 = 13277 = 71 x 187 18 x 891 = 16038 = 81 x 198 21 x 24 = 504 = 12 x 42 21 x 36 = 756 = 12 x 63 21 x 48 = 1008 = 12 x 84 21 x 132 = 2772 = 12 x 231 21 x 264 = 5544 = 12 x 462 21 x 396 = 8316 = 12 x 693 23 x 64 = 1472 = 32 x 46 23 x 96 = 2208 = 32 x 69 23 x 352 = 8096 = 32 x 253 24 x 21 = 504 = 42 x 12 24 x 63 = 1512 = 42 x 36 24 x 84 = 2016 = 42 x 48 24 x 231 = 5544 = 42 x 132 24 x 462 = 11088 = 42 x 264 24 x 693 = 16632 = 42 x 396 25 x 572 = 14300 = 52 x 275 26 x 31 = 806 = 62 x 13 26 x 93 = 2418 = 62 x 39 26 x 341 = 8866 = 62 x 143 26 x 682 = 17732 = 62 x 286 27 x 792 = 21384 = 72 x 297 28 x 41 = 1148 = 82 x 14 28 x 451 = 12628 = 82 x 154 31 x 26 = 806 = 13 x 62 31 x 39 = 1209 = 13 x 93 31 x 143 = 4433 = 13 x 341 31 x 286 = 8866 = 13 x 682 32 x 46 = 1472 = 23 x 64 32 x 69 = 2208 = 23 x 96 32 x 253 = 8096 = 23 x 352 34 x 86 = 2924 = 43 x 68 34 x 473 = 16082 = 43 x 374 35 x 583 = 20405 = 53 x 385 36 x 21 = 756 = 63 x 12 36 x 42 = 1512 = 63 x 24 36 x 84 = 3024 = 63 x 48 36 x 231 = 8316 = 63 x 132 36 x 462 = 16632 = 63 x 264 36 x 693 = 24948 = 63 x 396 39 x 31 = 1209 = 93 x 13 39 x 62 = 2418 = 93 x 26 39 x 341 = 13299 = 93 x 143 39 x 682 = 26598 = 93 x 286 41 x 28 = 1148 = 14 x 82 41 x 154 = 6314 = 14 x 451 42 x 12 = 504 = 24 x 21 42 x 36 = 1512 = 24 x 63 42 x 48 = 2016 = 24 x 84 42 x 132 = 5544 = 24 x 231 42 x 264 = 11088 = 24 x 462 42 x 396 = 16632 = 24 x 693 43 x 68 = 2924 = 34 x 86 43 x 374 = 16082 = 34 x 473 45 x 594 = 26730 = 54 x 495 46 x 32 = 1472 = 64 x 23 46 x 96 = 4416 = 64 x 69 46 x 352 = 16192 = 64 x 253 48 x 21 = 1008 = 84 x 12 48 x 42 = 2016 = 84 x 24 48 x 63 = 3024 = 84 x 36 48 x 231 = 11088 = 84 x 132 48 x 462 = 22176 = 84 x 264 48 x 693 = 33264 = 84 x 396 51 x 165 = 8415 = 15 x 561 52 x 275 = 14300 = 25 x 572 53 x 385 = 20405 = 35 x 583 54 x 495 = 26730 = 45 x 594 61 x 176 = 10736 = 16 x 671 62 x 13 = 806 = 26 x 31 62 x 39 = 2418 = 26 x 93 62 x 143 = 8866 = 26 x 341 62 x 286 = 17732 = 26 x 682 63 x 12 = 756 = 36 x 21 63 x 24 = 1512 = 36 x 42 63 x 48 = 3024 = 36 x 84 63 x 132 = 8316 = 36 x 231 63 x 264 = 16632 = 36 x 462 63 x 396 = 24948 = 36 x 693 64 x 23 = 1472 = 46 x 32 64 x 69 = 4416 = 46 x 96 64 x 253 = 16192 = 46 x 352 68 x 43 = 2924 = 86 x 34 68 x 473 = 32164 = 86 x 374 69 x 32 = 2208 = 96 x 23 69 x 64 = 4416 = 96 x 46 69 x 352 = 24288 = 96 x 253 71 x 187 = 13277 = 17 x 781 72 x 297 = 21384 = 27 x 792 81 x 198 = 16038 = 18 x 891 82 x 14 = 1148 = 28 x 41 82 x 154 = 12628 = 28 x 451 84 x 12 = 1008 = 48 x 21 84 x 24 = 2016 = 48 x 42 84 x 36 = 3024 = 48 x 63 84 x 132 = 11088 = 48 x 231 84 x 264 = 22176 = 48 x 462 84 x 396 = 33264 = 48 x 693 86 x 34 = 2924 = 68 x 43 86 x 374 = 32164 = 68 x 473 93 x 13 = 1209 = 39 x 31 93 x 26 = 2418 = 39 x 62 93 x 143 = 13299 = 39 x 341 93 x 286 = 26598 = 39 x 682 96 x 23 = 2208 = 69 x 32 96 x 46 = 4416 = 69 x 64 96 x 253 = 24288 = 69 x 352 102 x 402 = 41004 = 201 x 204 102 x 603 = 61506 = 201 x 306 102 x 804 = 82008 = 201 x 408 103 x 602 = 62006 = 301 x 206 103 x 903 = 93009 = 301 x 309 104 x 802 = 83408 = 401 x 208 112 x 422 = 47264 = 211 x 224 112 x 633 = 70896 = 211 x 336 112 x 844 = 94528 = 211 x 448 113 x 622 = 70286 = 311 x 226 113 x 933 = 105429 = 311 x 339 114 x 822 = 93708 = 411 x 228 122 x 442 = 53924 = 221 x 244 122 x 663 = 80886 = 221 x 366 122 x 884 = 107848 = 221 x 488 123 x 642 = 78966 = 321 x 246 123 x 963 = 118449 = 321 x 369 124 x 842 = 104408 = 421 x 248 132 x 21 = 2772 = 231 x 12 132 x 42 = 5544 = 231 x 24 132 x 63 = 8316 = 231 x 36 132 x 84 = 11088 = 231 x 48 132 x 462 = 60984 = 231 x 264 132 x 693 = 91476 = 231 x 396 133 x 662 = 88046 = 331 x 266 133 x 993 = 132069 = 331 x 399 134 x 862 = 115508 = 431 x 268 142 x 482 = 68444 = 241 x 284 143 x 31 = 4433 = 341 x 13 143 x 62 = 8866 = 341 x 26 143 x 93 = 13299 = 341 x 39 143 x 682 = 97526 = 341 x 286 144 x 882 = 127008 = 441 x 288 154 x 41 = 6314 = 451 x 14 154 x 82 = 12628 = 451 x 28 165 x 51 = 8415 = 561 x 15 176 x 61 = 10736 = 671 x 16 187 x 71 = 13277 = 781 x 17 198 x 81 = 16038 = 891 x 18 201 x 204 = 41004 = 102 x 402 201 x 306 = 61506 = 102 x 603 201 x 408 = 82008 = 102 x 804 203 x 604 = 122612 = 302 x 406 203 x 906 = 183918 = 302 x 609 204 x 201 = 41004 = 402 x 102 204 x 603 = 123012 = 402 x 306 204 x 804 = 164016 = 402 x 408 206 x 301 = 62006 = 602 x 103 206 x 903 = 186018 = 602 x 309 208 x 401 = 83408 = 802 x 104 211 x 224 = 47264 = 112 x 422 211 x 336 = 70896 = 112 x 633 211 x 448 = 94528 = 112 x 844 213 x 624 = 132912 = 312 x 426 213 x 936 = 199368 = 312 x 639 214 x 824 = 176336 = 412 x 428 221 x 244 = 53924 = 122 x 442 221 x 366 = 80886 = 122 x 663 221 x 488 = 107848 = 122 x 884 223 x 644 = 143612 = 322 x 446 223 x 966 = 215418 = 322 x 669 224 x 211 = 47264 = 422 x 112 224 x 633 = 141792 = 422 x 336 224 x 844 = 189056 = 422 x 448 226 x 311 = 70286 = 622 x 113 226 x 933 = 210858 = 622 x 339 228 x 411 = 93708 = 822 x 114 231 x 12 = 2772 = 132 x 21 231 x 24 = 5544 = 132 x 42 231 x 36 = 8316 = 132 x 63 231 x 48 = 11088 = 132 x 84 231 x 264 = 60984 = 132 x 462 231 x 396 = 91476 = 132 x 693 233 x 664 = 154712 = 332 x 466 233 x 996 = 232068 = 332 x 699 234 x 864 = 202176 = 432 x 468 241 x 284 = 68444 = 142 x 482 243 x 684 = 166212 = 342 x 486 244 x 221 = 53924 = 442 x 122 244 x 663 = 161772 = 442 x 366 244 x 884 = 215696 = 442 x 488 246 x 321 = 78966 = 642 x 123 246 x 963 = 236898 = 642 x 369 248 x 421 = 104408 = 842 x 124 253 x 32 = 8096 = 352 x 23 253 x 64 = 16192 = 352 x 46 253 x 96 = 24288 = 352 x 69 264 x 21 = 5544 = 462 x 12 264 x 42 = 11088 = 462 x 24 264 x 63 = 16632 = 462 x 36 264 x 84 = 22176 = 462 x 48 264 x 231 = 60984 = 462 x 132 264 x 693 = 182952 = 462 x 396 266 x 331 = 88046 = 662 x 133 266 x 993 = 264138 = 662 x 399 268 x 431 = 115508 = 862 x 134 275 x 52 = 14300 = 572 x 25 284 x 241 = 68444 = 482 x 142 286 x 31 = 8866 = 682 x 13 286 x 62 = 17732 = 682 x 26 286 x 93 = 26598 = 682 x 39 286 x 341 = 97526 = 682 x 143 288 x 441 = 127008 = 882 x 144 297 x 72 = 21384 = 792 x 27 301 x 206 = 62006 = 103 x 602 301 x 309 = 93009 = 103 x 903 302 x 406 = 122612 = 203 x 604 302 x 609 = 183918 = 203 x 906 304 x 806 = 245024 = 403 x 608 306 x 201 = 61506 = 603 x 102 306 x 402 = 123012 = 603 x 204 306 x 804 = 246024 = 603 x 408 309 x 301 = 93009 = 903 x 103 309 x 602 = 186018 = 903 x 206 311 x 226 = 70286 = 113 x 622 311 x 339 = 105429 = 113 x 933 312 x 426 = 132912 = 213 x 624 312 x 639 = 199368 = 213 x 936 314 x 826 = 259364 = 413 x 628 321 x 246 = 78966 = 123 x 642 321 x 369 = 118449 = 123 x 963 322 x 446 = 143612 = 223 x 644 322 x 669 = 215418 = 223 x 966 324 x 846 = 274104 = 423 x 648 331 x 266 = 88046 = 133 x 662 331 x 399 = 132069 = 133 x 993 332 x 466 = 154712 = 233 x 664 332 x 699 = 232068 = 233 x 996 334 x 866 = 289244 = 433 x 668 336 x 211 = 70896 = 633 x 112 336 x 422 = 141792 = 633 x 224 336 x 844 = 283584 = 633 x 448 339 x 311 = 105429 = 933 x 113 339 x 622 = 210858 = 933 x 226 341 x 13 = 4433 = 143 x 31 341 x 26 = 8866 = 143 x 62 341 x 39 = 13299 = 143 x 93 341 x 286 = 97526 = 143 x 682 342 x 486 = 166212 = 243 x 684 344 x 886 = 304784 = 443 x 688 352 x 23 = 8096 = 253 x 32 352 x 46 = 16192 = 253 x 64 352 x 69 = 24288 = 253 x 96 366 x 221 = 80886 = 663 x 122 366 x 442 = 161772 = 663 x 244 366 x 884 = 323544 = 663 x 488 369 x 321 = 118449 = 963 x 123 369 x 642 = 236898 = 963 x 246 374 x 43 = 16082 = 473 x 34 374 x 86 = 32164 = 473 x 68 385 x 53 = 20405 = 583 x 35 396 x 21 = 8316 = 693 x 12 396 x 42 = 16632 = 693 x 24 396 x 63 = 24948 = 693 x 36 396 x 84 = 33264 = 693 x 48 396 x 231 = 91476 = 693 x 132 396 x 462 = 182952 = 693 x 264 399 x 331 = 132069 = 993 x 133 399 x 662 = 264138 = 993 x 266 401 x 208 = 83408 = 104 x 802 402 x 102 = 41004 = 204 x 201 402 x 306 = 123012 = 204 x 603 402 x 408 = 164016 = 204 x 804 403 x 608 = 245024 = 304 x 806 406 x 302 = 122612 = 604 x 203 406 x 906 = 367836 = 604 x 609 408 x 201 = 82008 = 804 x 102 408 x 402 = 164016 = 804 x 204 408 x 603 = 246024 = 804 x 306 411 x 228 = 93708 = 114 x 822 412 x 428 = 176336 = 214 x 824 413 x 628 = 259364 = 314 x 826 421 x 248 = 104408 = 124 x 842 422 x 112 = 47264 = 224 x 211 422 x 336 = 141792 = 224 x 633 422 x 448 = 189056 = 224 x 844 423 x 648 = 274104 = 324 x 846 426 x 312 = 132912 = 624 x 213 426 x 936 = 398736 = 624 x 639 428 x 412 = 176336 = 824 x 214 431 x 268 = 115508 = 134 x 862 432 x 468 = 202176 = 234 x 864 433 x 668 = 289244 = 334 x 866 441 x 288 = 127008 = 144 x 882 442 x 122 = 53924 = 244 x 221 442 x 366 = 161772 = 244 x 663 442 x 488 = 215696 = 244 x 884 443 x 688 = 304784 = 344 x 886 446 x 322 = 143612 = 644 x 223 446 x 966 = 430836 = 644 x 669 448 x 211 = 94528 = 844 x 112 448 x 422 = 189056 = 844 x 224 448 x 633 = 283584 = 844 x 336 451 x 14 = 6314 = 154 x 41 451 x 28 = 12628 = 154 x 82 462 x 12 = 5544 = 264 x 21 462 x 24 = 11088 = 264 x 42 462 x 36 = 16632 = 264 x 63 462 x 48 = 22176 = 264 x 84 462 x 132 = 60984 = 264 x 231 462 x 396 = 182952 = 264 x 693 466 x 332 = 154712 = 664 x 233 466 x 996 = 464136 = 664 x 699 468 x 432 = 202176 = 864 x 234 473 x 34 = 16082 = 374 x 43 473 x 68 = 32164 = 374 x 86 482 x 142 = 68444 = 284 x 241 486 x 342 = 166212 = 684 x 243 488 x 221 = 107848 = 884 x 122 488 x 442 = 215696 = 884 x 244 488 x 663 = 323544 = 884 x 366 495 x 54 = 26730 = 594 x 45 561 x 15 = 8415 = 165 x 51 572 x 25 = 14300 = 275 x 52 583 x 35 = 20405 = 385 x 53 594 x 45 = 26730 = 495 x 54 602 x 103 = 62006 = 206 x 301 602 x 309 = 186018 = 206 x 903 603 x 102 = 61506 = 306 x 201 603 x 204 = 123012 = 306 x 402 603 x 408 = 246024 = 306 x 804 604 x 203 = 122612 = 406 x 302 604 x 609 = 367836 = 406 x 906 608 x 403 = 245024 = 806 x 304 609 x 302 = 183918 = 906 x 203 609 x 604 = 367836 = 906 x 406 622 x 113 = 70286 = 226 x 311 622 x 339 = 210858 = 226 x 933 624 x 213 = 132912 = 426 x 312 624 x 639 = 398736 = 426 x 936 628 x 413 = 259364 = 826 x 314 633 x 112 = 70896 = 336 x 211 633 x 224 = 141792 = 336 x 422 633 x 448 = 283584 = 336 x 844 639 x 312 = 199368 = 936 x 213 639 x 624 = 398736 = 936 x 426 642 x 123 = 78966 = 246 x 321 642 x 369 = 236898 = 246 x 963 644 x 223 = 143612 = 446 x 322 644 x 669 = 430836 = 446 x 966 648 x 423 = 274104 = 846 x 324 662 x 133 = 88046 = 266 x 331 662 x 399 = 264138 = 266 x 993 663 x 122 = 80886 = 366 x 221 663 x 244 = 161772 = 366 x 442 663 x 488 = 323544 = 366 x 884 664 x 233 = 154712 = 466 x 332 664 x 699 = 464136 = 466 x 996 668 x 433 = 289244 = 866 x 334 669 x 322 = 215418 = 966 x 223 669 x 644 = 430836 = 966 x 446 671 x 16 = 10736 = 176 x 61 682 x 13 = 8866 = 286 x 31 682 x 26 = 17732 = 286 x 62 682 x 39 = 26598 = 286 x 93 682 x 143 = 97526 = 286 x 341 684 x 243 = 166212 = 486 x 342 688 x 443 = 304784 = 886 x 344 693 x 12 = 8316 = 396 x 21 693 x 24 = 16632 = 396 x 42 693 x 36 = 24948 = 396 x 63 693 x 48 = 33264 = 396 x 84 693 x 132 = 91476 = 396 x 231 693 x 264 = 182952 = 396 x 462 699 x 332 = 232068 = 996 x 233 699 x 664 = 464136 = 996 x 466 781 x 17 = 13277 = 187 x 71 792 x 27 = 21384 = 297 x 72 802 x 104 = 83408 = 208 x 401 804 x 102 = 82008 = 408 x 201 804 x 204 = 164016 = 408 x 402 804 x 306 = 246024 = 408 x 603 806 x 304 = 245024 = 608 x 403 822 x 114 = 93708 = 228 x 411 824 x 214 = 176336 = 428 x 412 826 x 314 = 259364 = 628 x 413 842 x 124 = 104408 = 248 x 421 844 x 112 = 94528 = 448 x 211 844 x 224 = 189056 = 448 x 422 844 x 336 = 283584 = 448 x 633 846 x 324 = 274104 = 648 x 423 862 x 134 = 115508 = 268 x 431 864 x 234 = 202176 = 468 x 432 866 x 334 = 289244 = 668 x 433 882 x 144 = 127008 = 288 x 441 884 x 122 = 107848 = 488 x 221 884 x 244 = 215696 = 488 x 442 884 x 366 = 323544 = 488 x 663 886 x 344 = 304784 = 688 x 443 891 x 18 = 16038 = 198 x 81 903 x 103 = 93009 = 309 x 301 903 x 206 = 186018 = 309 x 602 906 x 203 = 183918 = 609 x 302 906 x 406 = 367836 = 609 x 604 933 x 113 = 105429 = 339 x 311 933 x 226 = 210858 = 339 x 622 936 x 213 = 199368 = 639 x 312 936 x 426 = 398736 = 639 x 624 963 x 123 = 118449 = 369 x 321 963 x 246 = 236898 = 369 x 642 966 x 223 = 215418 = 669 x 322 966 x 446 = 430836 = 669 x 644 993 x 133 = 132069 = 399 x 331 993 x 266 = 264138 = 399 x 662 996 x 233 = 232068 = 699 x 332 996 x 466 = 464136 = 699 x 664 **************************************** Tüm sayıları bilgisayar ~15 dakikada buldu. Bu hesaplamayı yapan C# kodu: [snippet id="453"] Ali Eskici