Smith Numbers Chart

Smith number is one in which, the sum of its digits is equal to the sum of the digits in its prime factorization. Smith numbers are composite numbers. Smith numbers were named by Albert Wilansky of Lehigh University, who noticed the property in his brother-in-law Harold Smith's phone number 4937775.
Property: 4937775 = 3 x 5 x 5 x 65837, while 4 + 9 + 3 + 7 + 7 + 7 + 5 = 3 + 5 + 5 + 6 + 5 + 8 + 3 + 7 = 42.
The Smith Numbers Chart shows the list of first few smith numbers from 1 to 10000.

List of First Few Smith Numbers

4 22 27 58
85 94 121 166
202 265 274 319
346 355 378 382
391 438 454 483
517 526 535 562
576 588 627 634
636 645 648 654
663 666 690 706
728 729 762 778
825 852 861 895
913 915 922 958
985 1086 1111 1165
1219 1255 1282 1284
1376 1449 1507 1581
1626 1633 1642 1678
1736 1755 1776 1795
1822 1842 1858 1872
1881 1894 1903 1908
1921 1935 1952 1962
1966 2038 2067 2079
2155 2173 2182 2218
2227 2265 2286 2326
2362 2366 2373 2409
2434 2461 2475 2484
2515 2556 2576 2578
2583 2605 2614 2679
2688 2722 2745 2751
2785 2839 2888 2902
2911 2934 2944 2958
3046 3091 3138 3168
3174 3226 3246 3258
3294 3345 3366 3390
3442 3505 3564 3595
3615 3622 3649 3663
3690 3694 3802 3852
3864 3865 3930 3946
3973 4054 4126 4162
4173 4185 4189 4191
4198 4209 4279 4306
4369 4414 4428 4464
4472 4557 4592 4594
4702 4743 4765 4788
4794 4832 4855 4880
4918 4954 4959 4960
4974 4981 5062 5071
5088 5098 5172 5242
5248 5253 5269 5298
5305 5386 5388 5397
5422 5458 5485 5526
5539 5602 5638 5642
5674 5772 5818 5854
5874 5915 5926 5935
5936 5946 5998 6036
6054 6084 6096 6115
6171 6178 6187 6188
6252 6259 6295 6315
6344 6385 6439 6457
6502 6531 6567 6583
6585 6603 6684 6693
6702 6718 6760 6816
6835 6855 6880 6934
6981 7026 7051 7062
7068 7078 7089 7119
7136 7186 7195 7227
7249 7287 7339 7402
7438 7447 7465 7503
7627 7674 7683 7695
7712 7726 7762 7764
7782 7784 7809 7824
7834 7915 7952 7978
8005 8014 8023 8073
8077 8095 8149 8154
8158 8185 8196 8253
8257 8277 8307 8347
8372 8412 8421 8466
8518 8545 8568 8628
8653 8680 8736 8754
8766 8790 8792 8851
8864 8874 8883 8901
8914 9015 9031 9036
9094 9166 9184 9193
9229 9274 9276 9285
9294 9296 9301 9330
9346 9355 9382 9386
9387 9396 9414 9427
9483 9522 9535 9571
9598 9633 9634 9639
9648 9657 9684 9708
9717 9735 9742 9760
9778 9840 9843 9849
9861 9880 9895 9924
9942 9968 9975 9985

The number of Smith numbers below 10n for n=1,2,… is: 1, 6, 49, 376, 3294, 29928, 278411, 2632758, 25154060, 241882509, …
Two consecutive Smith numbers are called Smith brothers.


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