factorial

product of all integers between 1 and the integral input of the function
rdfs:label
"factorial"@en
skos:altLabel
"!"@en
"! (math)"@en
"Factorial function"@en
"Factorial number"@en
"Factorials"@en
"factorial function"@en
"n!"@en
schema:description
"product of all integers between 1 and the integral input of the function"@en
schema:dateModified "2026-09-07T08:21:05+00:00"^^xsd:dateTime
schema:version 2541589211
wikibase:identifiers 37
wikibase:sitelinks 87
wikibase:statements 62
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p:direct-normalized/P227 <https://d-nb.info/gnd/4153607-1>
p:direct-normalized/P2581 <http://babelnet.org/rdf/s00032673n>
p:direct-normalized/P5063 <http://globalwordnet.org/ili/i67665>
p:direct-normalized/P6366 <https://makg.org/entity/183763347>
p:direct-normalized/P7033 <http://vocabulary.curriculum.edu.au/scot/1623>
wdt:P10283 "C183763347"
wdt:P10376 "mathematics/factorials"
wdt:P12385 "factorial"
wdt:P1245 "405815"
wdt:P12800 "fr:Factorielle"
wdt:P12888 "df-fac"
wdt:P1296 "0182881"
wdt:P1343 ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
Armenian Soviet Encyclopedia
The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition
wdt:P1417 "topic/factorial"
wdt:P14534 "Nat.factorial"
wdt:P1482 <https://math.stackexchange.com/tags/factorial>
<https://stackoverflow.com/tags/factorial>
wdt:P1568 set of non-negative integers
wdt:P1571 set of non-negative integers
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Factorial%201-5.png>
wdt:P1851 set of integers
wdt:P1889 gamma function
wdt:P227 "4153607-1"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">!</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable columnspacing="1em" rowspacing="4pt" columnalign="left left"><mtr><mtd><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x220F;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover></mstyle><mi>k</mi></mtd><mtd><mi>n</mi><mo>&gt;</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 number theory
combinatorics
wdt:P2581 "00032673n"
wdt:P2812 "Factorial"
wdt:P2924 "4705409"
wdt:P31 integer-valued function
integer sequence
wdt:P3365 "fattoriale"
wdt:P3417 "Factorial-1"
wdt:P373 "Factorial (function)"
wdt:P3755 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>O</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P3827 "factorials"
wdt:P3847 "factorials"
wdt:P4215 "factorial"
wdt:P4223 "fattoriale"
wdt:P4342 "n-fakultet"
wdt:P4746 "032440"
wdt:P5008 Wikipedia:Vital articles/Level/4
wdt:P5063 "i67665"
wdt:P5106 "factorial"
wdt:P5610 "integer1#factorial"
wdt:P5844 "fattoriale"
wdt:P6104 WikiProject Mathematics
wdt:P6262 "math:Factorial"
wdt:P6366 "183763347"
wdt:P646 "/m/02w2m"
wdt:P6706 "fattoriale"
wdt:P6781 "Definition:Factorial"
wdt:P6802 <http://commons.wikimedia.org/wiki/Special:FilePath/Euler%20factorial%20paper.png>
wdt:P7033 "scot/1623"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">!</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">&#x220F;</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7305 "3975225"
wdt:P7554 "Factorial"
wdt:P7726 "AsymptoticBoundsForFactorial"
"Factorial"
wdt:P829 "A000142"
wdt:P910 Category:Factorial and binomial topics
wdt:P9621 "fattoriale"
wdt:P973 <https://www.openmath.org/cd/integer1.xhtml#factorial>
<https://www.w3.org/TR/MathML3/chapter4.html#contm.factorial>
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