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perfect number

positive integer which equals the sum of all its divisors
Thing type_of_integer Q170043
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Summary

perfect number is a type of integer[1]. It ranks in the top 3% of type of integer entities by monthly Wikipedia readership (9,808 views/month).[2]

Key Facts

  • Subclass of: pseudoperfect number[3], harmonic divisor number[4], even number[5]
  • Commons category: Perfect number[6]
  • Has part(s): odd perfect number[7]
  • Topic's main category: Category:Perfect numbers[8]
  • Described by source: Otto's encyclopedia[9], Armenian Soviet Encyclopedia, vol. 5[10]
  • Stack Exchange tag: https://mathoverflow.net/tags/perfect-numbers[11], https://math.stackexchange.com/tags/perfect-numbers[12]
  • Does not have part: odd perfect number[13]
  • Maintained by WikiProject: WikiProject Mathematics[14]

Why It Matters

perfect number has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[15] It is known by 54 alternative names across languages and contexts.[16]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] ↑ . Wikidata sitelinks. wikidata.org.
  3. [16] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). perfect number. Retrieved October 17, 2026, from https://4ort.xyz/entity/perfect-number
MLA “perfect number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 17 Oct. 2026, https://4ort.xyz/entity/perfect-number.
BibTeX @misc{4ortxyz_perfect-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{perfect number}}, year = {2026}, url = {https://4ort.xyz/entity/perfect-number}, note = {Accessed: 2026-10-17}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): perfect number — https://4ort.xyz/entity/perfect-number (retrieved 2026-10-17)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 23w ago · KrBot bot · 2026-05-06 view diff on Wikidata ↗
    Subclass of → —
    Subclass of → pseudoperfect number, harmonic divisor number, even number
    Maintained by wikiproject → WikiProject Mathematics
    Topic's main category → Category:Perfect numbers
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ Symbol represents: positive integer, разрешение перенаправления / resolving redirect positive integer → positive integer ([[:toollabs:editgroups/b/KrBotResolvingRedirect"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.