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untouchable number

positive integer unexpressable as the sum of all proper divisors of any other integer
Thing general Q1193504
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untouchable number

Summary

untouchable number ranks in the top 2% of general entities by monthly Wikipedia readership (103 views/month).[1]

Key Facts

  • untouchable number is a type of positive integer[2].
  • untouchable number is part of set of untouchable numbers[3].
  • untouchable number's maintained by WikiProject is recorded as WikiProject Mathematics[4].

Body

Definition and Type

untouchable number is a type of positive integer[2].

Use and Application

untouchable number is part of set of untouchable numbers[3].

Why It Matters

untouchable number ranks in the top 2% of general entities by monthly Wikipedia readership (103 views/month).[1] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[5] It is known by 8 alternative names across languages and contexts.[6]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [5] ↑ . Wikidata sitelinks. wikidata.org.
  3. [6] ↑ . 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). untouchable number. Retrieved April 11, 2026, from https://4ort.xyz/entity/untouchable-number
MLA “untouchable number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/untouchable-number.
BibTeX @misc{4ortxyz_untouchable-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{untouchable number}}, year = {2026}, url = {https://4ort.xyz/entity/untouchable-number}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): untouchable number — https://4ort.xyz/entity/untouchable-number (retrieved 2026-04-11)

Canonical URL: https://4ort.xyz/entity/untouchable-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. 12d ago · MatSuBot bot · 2026-05-09 view diff on Wikidata ↗
    Part of → set of untouchable numbers
    Subclass of → —
    Set cardinality → Q1445491
    Aliases → —
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaimvalue:1| */ [[Property:P279]]: [[Q16317911]], fix redirect [[Q28920044]] → [[Q16317911]] ([[:toollabs:editgroups/b/CB/43bf22167717|details]])"
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