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In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the same base. In the case of numbers that are not square-free, the factorization is written without exponents, writing the repeated factor as many times as needed.
Mathematical definition, Properties & Overview
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smith number numbers base 10 factorization 22 displaystyle sum prime many brother-in-law named albert wilansky harold known theory given factor
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Smith number | Author of publication | Albert Wilansky | 1.00 | infobox |
| Smith number | First terms | 4, 22, 27, 58, 85, 94, 121 | 1.00 | infobox |
| Smith number | Named after | Harold Smith (brother-in-law of Albert Wilansky) | 1.00 | infobox |
| Smith number | OEIS index | A006753 | 1.00 | infobox |
| Smith number | Total no. of terms | infinity | 1.00 | infobox |
| Smith number | is a | composite number for which | 0.90 | text |
| Smith number | related to External links | Weisstein | 0.60 | section |
| Smith number | related to External links | Eric | 0.60 | section |
| Smith number | related to External links | MathWorld | 0.60 | section |
| Smith number | related to External links | Copeland | 0.60 | section |
| Smith number | related to External links | Ed | 0.60 | section |
| Smith number | related to External links | December | 0.60 | section |
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