hyperperfect number

natural number n for which the equality n=1+k(σ(n)−n−1) holds for some k
Thing general Q839528
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hyperperfect number

Summary

hyperperfect number ranks in the top 2% of general entities by monthly Wikipedia readership (31 views/month).[1]

Key Facts

  • hyperperfect number's subclass of is recorded as positive integer[2].
  • hyperperfect number's Freebase ID is recorded as /m/01vnfz[3].
  • hyperperfect number's OEIS ID is recorded as A034897[4].
  • hyperperfect number's defining formula is recorded as n = 1 + k(\sigma(n) - n - 1)[5].
  • hyperperfect number's MathWorld ID is recorded as HyperperfectNumber[6].
  • hyperperfect number's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • hyperperfect number's Microsoft Academic ID is recorded as 2777058390[8].
  • hyperperfect number's in defining formula is recorded as n[9].
  • hyperperfect number's in defining formula is recorded as k[10].
  • hyperperfect number's in defining formula is recorded as \sigma(n)[11].

Why It Matters

hyperperfect number ranks in the top 2% of general entities by monthly Wikipedia readership (31 views/month).[1] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[12]

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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). hyperperfect number. Retrieved April 10, 2026, from https://4ort.xyz/entity/hyperperfect-number
MLA “hyperperfect number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/hyperperfect-number.
BibTeX @misc{4ortxyz_hyperperfect-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{hyperperfect number}}, year = {2026}, url = {https://4ort.xyz/entity/hyperperfect-number}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): hyperperfect number — https://4ort.xyz/entity/hyperperfect-number (retrieved 2026-04-10)

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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. 27d ago · KrBot bot · 2026-05-06 view diff on Wikidata ↗
    Maintained by wikiproject WikiProject Mathematics
    Aliases
    Subclass of
    Subclass of positive integer
    "/* wbsetclaimvalue:1| */ [[Property:P279]]: [[Q16317911]], разрешение перенаправления / resolving redirect [[Q28920044]] → [[Q16317911]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q28920044_Q163"
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