abundant number

number for which the sum of its proper divisors is greater than the number itself
Thing general Q223722
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Summary

abundant number ranks in the top 2% of general entities by monthly Wikipedia readership (207 views/month).[1]

Key Facts

  • abundant number's GND ID is recorded as 4769574-2[2].
  • abundant number's subclass of is recorded as positive integer[3].
  • abundant number's Commons category is recorded as Abundant number[4].
  • abundant number's opposite of is recorded as deficient number[5].
  • abundant number's Freebase ID is recorded as /m/01vm16[6].
  • abundant number's OEIS ID is recorded as A005101[7].
  • abundant number's described by source is recorded as New Encyclopedic Dictionary[8].
  • abundant number's Encyclopædia Britannica Online ID is recorded as topic/abundant-number[9].
  • abundant number's defining formula is recorded as \sigma(n)>2n[10].
  • abundant number's BabelNet ID is recorded as 02573711n[11].
  • abundant number's MathWorld ID is recorded as AbundantNumber[12].
  • abundant number's Elhuyar ZTH ID is recorded as 133527[13].
  • abundant number's Rosetta Code page ID is recorded as Abundant,_deficient_and_perfect_number_classifications[14].
  • abundant number's schematic is recorded as Abundant number 12 vector.svg[15].
  • abundant number's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • abundant number's Microsoft Academic ID is recorded as 64144142[17].
  • abundant number's ProofWiki ID is recorded as Definition:Abundant_Number[18].
  • abundant number's Australian Educational Vocabulary ID is recorded as scot/13605[19].
  • abundant number's in defining formula is recorded as n[20].
  • abundant number's in defining formula is recorded as \sigma[21].

Why It Matters

abundant number ranks in the top 2% of general entities by monthly Wikipedia readership (207 views/month).[1] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[22] It is known by 19 alternative names across languages and contexts.[23]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . Freebase Data Dumps. wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . BabelNet. wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.
  13. [14] ↑ . wikidata.org.
  14. [15] ↑ . wikidata.org.
  15. [16] ↑ . wikidata.org.
  16. [17] ↑ . wikidata.org.
  17. [18] ↑ . wikidata.org.
  18. [19] ↑ . wikidata.org.
  19. [20] ↑ . wikidata.org.
  20. [21] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] ↑ . Wikidata sitelinks. wikidata.org.
  3. [23] ↑ . 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). abundant number. Retrieved October 13, 2026, from https://4ort.xyz/entity/abundant-number
MLA “abundant number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 13 Oct. 2026, https://4ort.xyz/entity/abundant-number.
BibTeX @misc{4ortxyz_abundant-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{abundant number}}, year = {2026}, url = {https://4ort.xyz/entity/abundant-number}, note = {Accessed: 2026-10-13}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): abundant number — https://4ort.xyz/entity/abundant-number (retrieved 2026-10-13)

Canonical URL: https://4ort.xyz/entity/abundant-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. 22w ago · KrBot bot · 2026-05-06 view diff on Wikidata ↗
    Subclass of → —
    Subclass of → positive integer
    Maintained by wikiproject → WikiProject Mathematics
    Described by source → New Encyclopedic Dictionary
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaimvalue:1| */ Subclass of: positive integer, разрешение перенаправления / resolving redirect positive integer → positive integer ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q28920044_Q"
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