aliquot sum
type: Thing
alternate name: sum of proper divisors
description: sum of all proper divisors of a natural number
additional property: PropertyValue
  property ID: P31
  value: integer-valued function
additional property: PropertyValue
  property ID: P279
  value: sum
additional property: PropertyValue
  property ID: P1889
  value: divisor function
additional property: PropertyValue
  property ID: P2534
  value: s(n)=\sigma(n)-n
additional property: PropertyValue
  property ID: P2671
  value: /g/11b7_llm3q
additional property: PropertyValue
  property ID: P2812
  value: RestrictedDivisorFunction
additional property: PropertyValue
  property ID: P6104
  value: WikiProject Mathematics
additional property: PropertyValue
  property ID: P6366
  value: 2778381193
additional property: PropertyValue
  property ID: P7235
  value: s(n)
additional property: PropertyValue
  property ID: P7235
  value: n
additional property: PropertyValue
  property ID: P7235
  value: \sigma(n)
confidence:
  popularity graph score:
    score: 0.011
    score pct: 1
    tier: long_tail
    components:
      sitelinks: 13
      sitelinks norm: 0.031
      unique citations: 0
      unique citations norm: 0.0
      monthly pageviews: 0
      monthly pageviews norm: 0.0
  sitelinks: 13
  unique citations: 0
  monthly pageviews: 0
  yearly pageviews: 296
  pageview trend:
    m: 2026-06
    v: 197
  pageview trend:
    m: 2026-05
    v: 21
  pageview trend:
    m: 2026-05
    v: 1
  pageview trend:
    m: 2026-05
    v: 5
  pageview trend:
    m: 2026-04
    v: 70
  pageview trend:
    m: 2026-04
    v: 2
  popularity:
    sitelinks: 13
    max: 423
    pct: 3.1
  tier: long_tail
claims:
  P31:
    value: Q19856468
    source count: 0
    confidence: 0.0
    value label: integer-valued function
  P279:
    value: Q218005
    source count: 0
    confidence: 0.0
    value label: sum
  P1889:
    value: Q915474
    source count: 0
    confidence: 0.0
    value label: divisor function
  P2534:
    value: s(n)=\sigma(n)-n
    source count: 0
    confidence: 0.0
  P2671:
    value: /g/11b7_llm3q
    source count: 0
    confidence: 0.0
  P2812:
    value: RestrictedDivisorFunction
    source count: 1
    confidence: 0.2
  P6104:
    value: Q8487137
    source count: 0
    confidence: 0.0
    value label: WikiProject Mathematics
  P6366:
    value: 2778381193
    source count: 0
    confidence: 0.0
  P7235:
    value: s(n)
    source count: 0
    confidence: 0.0
  P7235:
    value: n
    source count: 0
    confidence: 0.0
  P7235:
    value: \sigma(n)
    source count: 0
    confidence: 0.0
meta:
  wikidata id: Q22912133
  domain: integer_valued_function
  level: standard
  html url: https://4ort.xyz/entity/aliquot-sum
  markdown url: https://4ort.xyz/entity/aliquot-sum.md
  facts url summary: https://4ort.xyz/entity/aliquot-sum/facts.json
  facts url standard: https://4ort.xyz/entity/aliquot-sum/facts.json
  facts url full: https://4ort.xyz/entity/aliquot-sum/facts.json
  data source: Wikidata (CC0 / public domain)
  license: https://creativecommons.org/publicdomain/zero/1.0/
  api version: v1
  served at: 2026-08-23T12:04:17.351363Z
  entity updated at: 2026-05-03T23:45:09.469384+00:00Z
  entity created at: 2026-04-11T00:01:35.757200+00:00Z