hyperperfect number
type: Thing
description: natural number n for which the equality n=1+k(σ(n)−n−1) holds for some k
additional property: PropertyValue
  property ID: P279
  value: positive integer
additional property: PropertyValue
  property ID: P646
  value: /m/01vnfz
additional property: PropertyValue
  property ID: P829
  value: A034897
additional property: PropertyValue
  property ID: P2534
  value: n = 1 + k(\sigma(n) - n - 1)
additional property: PropertyValue
  property ID: P2812
  value: HyperperfectNumber
additional property: PropertyValue
  property ID: P6104
  value: WikiProject Mathematics
additional property: PropertyValue
  property ID: P6366
  value: 2777058390
additional property: PropertyValue
  property ID: P7235
  value: n
additional property: PropertyValue
  property ID: P7235
  value: k
additional property: PropertyValue
  property ID: P7235
  value: \sigma(n)
confidence:
  popularity graph score:
    score: 0.008
    score pct: 1
    tier: long_tail
    components:
      sitelinks: 10
      sitelinks norm: 0.024
      unique citations: 0
      unique citations norm: 0.0
      monthly pageviews: 0
      monthly pageviews norm: 0.0
  sitelinks: 10
  unique citations: 0
  monthly pageviews: 0
  yearly pageviews: 174
  pageview trend:
    m: 2026-06
    v: 117
  pageview trend:
    m: 2026-05
    v: 14
  pageview trend:
    m: 2026-05
    v: 5
  pageview trend:
    m: 2026-05
    v: 6
  pageview trend:
    m: 2026-04
    v: 3
  pageview trend:
    m: 2026-04
    v: 3
  pageview trend:
    m: 2026-04
    v: 26
  popularity:
    sitelinks: 10
    max: 423
    pct: 2.4
  tier: long_tail
claims:
  P279:
    value: Q28920044
    source count: 0
    confidence: 0.0
    value label: positive integer
  P646:
    value: /m/01vnfz
    source count: 0
    confidence: 0.0
  P829:
    value: A034897
    source count: 0
    confidence: 0.0
  P2534:
    value: n = 1 + k(\sigma(n) - n - 1)
    source count: 0
    confidence: 0.0
  P2812:
    value: HyperperfectNumber
    source count: 1
    confidence: 0.2
  P6104:
    value: Q8487137
    source count: 0
    confidence: 0.0
    value label: WikiProject Mathematics
  P6366:
    value: 2777058390
    source count: 0
    confidence: 0.0
  P7235:
    value: n
    source count: 0
    confidence: 0.0
  P7235:
    value: k
    source count: 0
    confidence: 0.0
  P7235:
    value: \sigma(n)
    source count: 0
    confidence: 0.0
meta:
  wikidata id: Q839528
  domain: general
  level: standard
  html url: https://4ort.xyz/entity/hyperperfect-number
  markdown url: https://4ort.xyz/entity/hyperperfect-number.md
  facts url summary: https://4ort.xyz/entity/hyperperfect-number/facts.json
  facts url standard: https://4ort.xyz/entity/hyperperfect-number/facts.json
  facts url full: https://4ort.xyz/entity/hyperperfect-number/facts.json
  data source: Wikidata (CC0 / public domain)
  license: https://creativecommons.org/publicdomain/zero/1.0/
  api version: v1
  served at: 2026-08-24T02:36:33.701983Z
  entity updated at: 2026-04-10T23:14:50.289512+00:00Z
  entity created at: 2026-04-10T23:14:50.289512+00:00Z