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number of prime divisors

number of primes dividing a given number counted with multiplicity
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number of prime divisors

Summary

number of prime divisors is a completely additive function[1].

Key Facts

  • number of prime divisors's instance of is recorded as completely additive function[2].
  • number of prime divisors's instance of is recorded as prime omega function[3].
  • number of prime divisors is a type of number of entities[4].
  • number of prime divisors's different from is recorded as number of divisors[5].
  • number of prime divisors's greater than is recorded as number of distinct prime divisors[6].
  • number of prime divisors's less than is recorded as number of divisors[7].
  • number of prime divisors's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • number of prime divisors's counts is recorded as prime factor[9].

Body

Definition and Type

Recorded instance of include completely additive function[2] and prime omega function[3]. number of prime divisors is a type of number of entities[4].

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] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. 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 prime divisors. Retrieved May 3, 2026, from https://4ort.xyz/entity/number-of-prime-divisors
MLA “number of prime divisors.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/number-of-prime-divisors.
BibTeX @misc{4ortxyz_number-of-prime-divisors_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{number of prime divisors}}, year = {2026}, url = {https://4ort.xyz/entity/number-of-prime-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 prime divisors — https://4ort.xyz/entity/number-of-prime-divisors (retrieved 2026-05-03)

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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. 7w ago · KrBot bot · 2026-05-13 view diff on Wikidata ↗
    Defining formula → \Omega(n)=\Omega(p_1^{\alpha_1} p_2^{\alpha_2} \cdots p_k^{\
    Counts → prime factor
    Instance of → completely additive function, prime omega function
    Oeis id → A001222
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ [[Property:P9758]]: [[Q16317911]], разрешение перенаправления / resolving redirect [[Q28920044]] → [[Q16317911]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q289200"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.