factorial

product of all integers between 1 and the integral input of the function
Thing integer_valued_function Q120976
factorial
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factorial

Summary

factorial is an integer-valued function[1]. factorial draws 1,214 Wikipedia views per month (integer_valued_function category, ranking #1 of 7).[2]

Key Facts

  • factorial's image is recorded as Factorial 1-5.png[3].
  • factorial's instance of is recorded as integer-valued function[4].
  • factorial's instance of is recorded as integer sequence[5].
  • factorial's GND ID is recorded as 4153607-1[6].
  • factorial's Commons category is recorded as Factorial (function)[7].
  • factorial's Freebase ID is recorded as /m/02w2m[8].
  • factorial's OEIS ID is recorded as A000142[9].
  • factorial's topic's main category is recorded as Category:Factorial and binomial topics[10].
  • factorial's described at URL is recorded as https://www.openmath.org/cd/integer1.xhtml#factorial[11].
  • factorial's described at URL is recorded as https://www.w3.org/TR/MathML3/chapter4.html#contm.factorial[12].
  • factorial's OmegaWiki Defined Meaning is recorded as 405815[13].
  • factorial's Gran Enciclopèdia Catalana ID is recorded as 0182881[14].
  • factorial's described by source is recorded as Armenian Soviet Encyclopedia[15].
  • factorial's described by source is recorded as The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition[16].
  • factorial's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[17].
  • factorial's Encyclopædia Britannica Online ID is recorded as topic/factorial[18].
  • factorial's Stack Exchange tag is recorded as https://stackoverflow.com/tags/factorial[19].
  • factorial's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/factorial[20].
  • factorial's definition domain is recorded as set of non-negative integers[21].
  • factorial's codomain is recorded as set of non-negative integers[22].
  • factorial's partial function domain is recorded as set of integers[23].
  • factorial's different from is recorded as gamma function[24].
  • factorial's defining formula is recorded as n! = \begin{cases} \prod_{k = 1}^n k & n > 0 \ 1 & n = 0 \end{cases}[25].
  • factorial's studied by is recorded as combinatorics[26].
  • factorial's studied by is recorded as number theory[27].

Why It Matters

factorial draws 1,214 Wikipedia views per month (integer_valued_function category, ranking #1 of 7).[2] factorial has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[28] factorial is known by 40 alternative names across languages and contexts.[29]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. 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.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). factorial. Retrieved May 3, 2026, from https://4ort.xyz/entity/factorial
MLA “factorial.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/factorial.
BibTeX @misc{4ortxyz_factorial_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{factorial}}, year = {2026}, url = {https://4ort.xyz/entity/factorial}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): factorial — https://4ort.xyz/entity/factorial (retrieved 2026-05-03)

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