number of divisors

number of different natural numbers that evenly divide the given number
Thing divisor_function Q12890701
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number of divisors

Summary

number of divisors is a divisor function[1]. It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • number of divisors's instance of is recorded as divisor function[3].
  • number of divisors's instance of is recorded as integer-valued function[4].
  • number of divisors's OEIS ID is recorded as A000005[5].
  • number of divisors's definition domain is recorded as set of positive integers[6].
  • number of divisors's codomain is recorded as set of positive integers[7].
  • number of divisors's defining formula is recorded as \tau(n) = |{ d \in \mathbb{N} : d \mid n }|[8].
  • number of divisors's Google Knowledge Graph ID is recorded as /g/121x71kd[9].
  • number of divisors's greater than is recorded as number of prime divisors[10].
  • number of divisors's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • number of divisors's ProofWiki ID is recorded as Definition:Divisor_Count_Function[12].
  • number of divisors's in defining formula is recorded as \tau(n)[13].
  • number of divisors's in defining formula is recorded as |A|[14].
  • number of divisors's in defining formula is recorded as \mathbb{N}[15].
  • number of divisors's in defining formula is recorded as m \mid n[16].
  • number of divisors's quantity symbol is recorded as \tau(n)[17].
  • number of divisors's quantity symbol is recorded as \sigma_0(n)[18].
  • number of divisors's quantity symbol is recorded as d(n)[19].
  • number of divisors's quantity symbol is recorded as v(n)[20].
  • number of divisors's counts is recorded as divisor[21].

Why It Matters

number of divisors has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[2] It is known by 6 alternative names across languages and contexts.[22]

References

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

Direct Wikidata claims

  1. [3] . MathWorld. primes.utm.edu. Provenance: 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.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikidata sitelinks. wikidata.org.
  2. [22] . 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). number of divisors. Retrieved May 3, 2026, from https://4ort.xyz/entity/number-of-divisors
MLA “number of divisors.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/number-of-divisors.
BibTeX @misc{4ortxyz_number-of-divisors_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{number of divisors}}, year = {2026}, url = {https://4ort.xyz/entity/number-of-divisors}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): number of divisors — https://4ort.xyz/entity/number-of-divisors (retrieved 2026-05-03)

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