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odd perfect number

odd number that is equal to the sum of all its divisors
Thing currently_empty_class Q117009395
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Summary

odd perfect number is a Q141603145[1]. It draws 248 Wikipedia views per month (currently_empty_class category, ranking #4 of 3).[2]

Key Facts

  • odd perfect number's instance of is recorded as Q141603145[3].
  • odd perfect number is a type of perfect number[4].
  • odd perfect number is a type of odd number[5].
  • odd perfect number is a type of the empty class[6].
  • odd perfect number's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

odd perfect number's instance of is recorded as Q141603145[3]. Recorded subclass of include perfect number[4], odd number[5], and the empty class[6].

Why It Matters

odd perfect number draws 248 Wikipedia views per month (currently_empty_class category, ranking #4 of 3).[2] It is known by 8 alternative names across languages and contexts.[8]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . 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). odd perfect number. Retrieved October 16, 2026, from https://4ort.xyz/entity/odd-perfect-number
MLA “odd perfect number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 16 Oct. 2026, https://4ort.xyz/entity/odd-perfect-number.
BibTeX @misc{4ortxyz_odd-perfect-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{odd perfect number}}, year = {2026}, url = {https://4ort.xyz/entity/odd-perfect-number}, note = {Accessed: 2026-10-16}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): odd perfect number — https://4ort.xyz/entity/odd-perfect-number (retrieved 2026-10-16)

Canonical URL: https://4ort.xyz/entity/odd-perfect-number · Last refreshed:

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. 17d ago · YoshiRulz · 2026-09-30 view diff on Wikidata ↗
    In defining formula → \sigma(n), \omega(n)
    Defining formula → n \nmid 2 \and \sigma(n) = 2n, n \nmid 2 \and n \in PN \implies n < 2^{4^{\omega(n)}}
    Claims rich → —
    "/* wbsetclaim-create:2||1 */ In defining formula: \omega(n)"
  2. 17d ago · YoshiRulz · 2026-09-30 view diff on Wikidata ↗
    Defining formula → n \nmid 2 \and \sigma(n) = 2n, n \nmid 2 \and n \in PN \implies n < 2^{4^{\omega(n)}}
    Claims rich → —
    "/* wbsetclaim-create:2||1 */ Defining formula: n \nmid 2 \and \sigma(n) = 2n"
  3. 17d ago · YoshiRulz · 2026-09-30 view diff on Wikidata ↗
    Wikipedia languages → ['en', 'zh']
    Sitelink count → 2
    Subclass of → perfect number, odd number, the empty class
    Imported from → —
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update:2||1 */ Instance of: Q141603145"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.