perfect number

positive integer which equals the sum of all its divisors
rdfs:label
"perfect number"@en
skos:altLabel
"الأعداد الكاملة"@ar
schema:description
"positive integer which equals the sum of all its divisors"@en
schema:dateModified "2026-09-08T18:07:44+00:00"^^xsd:dateTime
schema:version 2542394227
wikibase:identifiers 13
wikibase:sitelinks 69
wikibase:statements 30
p:P10283 wd:statement/Q170043-5DB728E7-0B56-453F-8D78-753F2F68A829
p:P12385 wd:statement/Q170043-6fd356e9-1221-4139-b4b2-c2a3629610e7
p:P1296 wd:statement/Q170043-60A160AB-215E-43E0-9C3A-0F844B8C937C
p:P1343 wd:statement/Q170043-6a17ff85-1909-4135-9f4f-c8fcb0acc9d1
wd:statement/Q170043-BFB3D73C-48E6-49C6-A213-C812218A9153
p:P1417 wd:statement/Q170043-72ECA6DC-6FC0-47EB-8608-272EE9F592D5
p:P1482 wd:statement/Q170043-0794ab56-4a70-d16f-4342-115d20050176
wd:statement/Q170043-1dddbcec-404e-df03-c004-9318ffdfcac6
p:P18 wd:statement/Q170043-c93ad62a-4b6e-aff1-b233-c038e7c99dee
p:P227 wd:statement/Q170043-8f33272c-4bdd-0e9d-38eb-025c3fe893ee
p:P2534 wd:statement/Q170043-beacb122-4f53-3d1e-2a6d-9aedb0ea80ec
p:P279 wd:statement/Q170043-4e2c4a5d-4dc9-1041-125c-eb791ecdb75a
wd:statement/Q170043-8fbb5450-48d9-3bd8-7b70-9c859fea410e
wd:statement/q170043-C0C50CAB-6A22-4B1D-AD16-565CF9553FDF
p:P2812 wd:statement/Q170043-A1943CD8-7744-4E2C-90FC-BC4C1ACA41AB
p:P2924 wd:statement/Q170043-F18AD134-6636-4E4A-ABEC-A8CF30A70E7F
p:P31 wd:statement/Q170043-77419bb9-4c4d-f2f1-1f99-471e53c8c21a
p:P3113 wd:statement/Q170043-742ba067-4965-27fb-15d7-ed2d15fd90e6
p:P373 wd:statement/Q170043-767659ed-40d4-a8da-85a9-60f92e4f6010
p:P4342 wd:statement/Q170043-81fad935-463f-3fd7-a015-01c569631f48
p:P5047 wd:statement/Q170043-E64A34F7-A109-4718-B7C3-1CB89E590DAA
p:P527 wd:statement/Q170043-cd92a1c5-4e26-c211-291b-be2fda8e24ad
p:P6104 wd:statement/Q170043-D19581DE-70E9-4948-934B-740032E4DF2E
p:P6366 wd:statement/Q170043-CA6C4DE7-0C87-4970-A5C1-A03170F0FF09
p:P646 wd:statement/Q170043-F36FA025-3CFE-4A41-9618-B97D8DC3A783
p:P6781 wd:statement/Q170043-9349ea0e-4545-f3bf-89d7-35883be59a94
p:P7235 wd:statement/Q170043-820e467f-4bf4-2081-2b15-7244e90128a4
wd:statement/Q170043-d86c860c-460c-5d53-fe6d-dae4508d03b0
p:P829 wd:statement/Q170043-126ef551-433b-968d-3cfa-bccdd89ad4b6
p:P910 wd:statement/Q170043-5FBA3930-BF2B-40BE-88DC-D84EA8AB910E
p:direct-normalized/P227 <https://d-nb.info/gnd/7683309-4>
p:direct-normalized/P6366 <https://makg.org/entity/103996166>
wdt:P10283 "C103996166"
wdt:P12385 "nombre-perfecte"
wdt:P1296 "0153761"
wdt:P1343 Armenian Soviet Encyclopedia, vol. 5
Otto's encyclopedia
wdt:P1417 "topic/perfect-number"
wdt:P1482 <https://math.stackexchange.com/tags/perfect-numbers>
<https://mathoverflow.net/tags/perfect-numbers>
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Perfect%20number%20Cuisenaire%20rods%206.png>
wdt:P227 "7683309-4"
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>&#x03C3;</mi><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x2212;</mo><mn>2</mn><mi>n</mi><mo stretchy="false">=</mo><mi>s</mi><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x2212;</mo><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 even number
pseudoperfect number
harmonic divisor number
wdt:P2812 "PerfectNumber"
wdt:P2924 "3588903"
wdt:P31 type of integer
wdt:P3113 odd perfect number
wdt:P373 "Perfect number"
wdt:P4342 "perfekt_tall"
wdt:P5047 "Abundant,_deficient_and_perfect_number_classifications"
wdt:P527 odd perfect number
wdt:P6104 WikiProject Mathematics
wdt:P6366 "103996166"
wdt:P646 "/m/05x6v"
wdt:P6781 "Definition:Perfect_Number"
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>&#x03C3;</mi><mo stretchy="false">(</mo><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"><mi>n</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P829 "A000396"
wdt:P910 Category:Perfect numbers
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