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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.
The analysis highlights Mathematical definition, Properties and Overview as prominent areas in the source structure around Smith number.
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
The extracted context around Smith number shows recurring relationship patterns in the source. For example, Smith number → Archived, Brady Haran, Copeland, December, Ed, Eric, MathWorld, Numberphile, Smith Numbers, Weisstein Another extracted example is Smith number → It, McDaniel, Smith, The, Two. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
smith number numbers base 10 factorization 22 displaystyle sum prime many brother-in-law named albert wilansky harold known theory given factor
TTTA extracted 25 structured relationships around Smith number. Examples in this analysis include Smith number → Author of publication → Albert Wilansky and Smith number → First terms → 4, 22, 27, 58, 85, 94, 121. The table shows each extracted connection, where it came from and its confidence.
| 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 |
The concept neighborhoods around Smith number bring nearby vocabulary together. In this analysis, examples include Smith, Base and Numbers. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Smith number, one of the stronger structural bridges in this analysis connects Smith number with Mathematical definition. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Smith number to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Mathematical definition, Properties & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Smith number · EN edition · Analysis: TopicsToTalkAbout