"perfect number" meaning in English

See perfect number in All languages combined, or Wiktionary

Noun

Forms: perfect numbers [plural]
Etymology: Calque of Latin numerus perfectus, with this use of perfectus itself a semantic loan from Ancient Greek τέλειος (téleios). Etymology templates: {{calque|en|la|numerus perfectus}} Calque of Latin numerus perfectus, {{m|la|perfectus}} perfectus, {{der|en|grc|τέλειος}} Ancient Greek τέλειος (téleios) Head templates: {{en-noun}} perfect number (plural perfect numbers)
  1. (number theory) A number that is the sum of all of its divisors except itself. Categories (topical): Number theory Related terms: abundant number, amicable numbers, deficient number, Mersenne prime, sociable numbers Translations (a number that is the sum of all of its divisors except itself): nombre perfecte (Catalan), 完全數 (Chinese Mandarin), 完全数 (wánquánshù) (Chinese Mandarin), perfect getal (Dutch), täydellinen luku (Finnish), nombre parfait [masculine] (French), vollkommene Zahl [feminine] (German), perfekte Zahl [feminine] (German), ideale Zahl [feminine] (German), fullkomin tala [feminine] (Icelandic), numero perfetto [masculine] (Italian), 完全数 (alt: かんせんすう; kanzen-su) (Japanese), numerus perfectus [masculine] (Latin), perfekt tall (Norwegian), áram foirbthe [feminine] (Old Irish), número perfeito [masculine] (Portuguese), număr perfect [neuter] (Romanian), соверше́нное число́ (soveršénnoje čisló) [neuter] (Russian), dokonalé číslo [neuter] (Slovak), número perfecto [masculine] (Spanish), perfekt tal [neuter] (Swedish), himpit na bilang (Tagalog), mükemmel sayı (Turkish)

Inflected forms

Download JSON data for perfect number meaning in English (5.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "numerus perfectus"
      },
      "expansion": "Calque of Latin numerus perfectus",
      "name": "calque"
    },
    {
      "args": {
        "1": "la",
        "2": "perfectus"
      },
      "expansion": "perfectus",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "grc",
        "3": "τέλειος"
      },
      "expansion": "Ancient Greek τέλειος (téleios)",
      "name": "der"
    }
  ],
  "etymology_text": "Calque of Latin numerus perfectus, with this use of perfectus itself a semantic loan from Ancient Greek τέλειος (téleios).",
  "forms": [
    {
      "form": "perfect numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "perfect number (plural perfect numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The factors of 6 are 1, 2, 3 and 6, and 1 + 2 + 3 = 6, so 6 is a perfect number."
        },
        {
          "text": "The factors of 28 are 1, 2, 4, 7, 14 and 28, and 1 + 2 + 4 + 7 + 14 = 28, so 28 is a perfect number."
        }
      ],
      "glosses": [
        "A number that is the sum of all of its divisors except itself."
      ],
      "id": "en-perfect_number-en-noun-J12P4elj",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "divisor",
          "divisor"
        ]
      ],
      "raw_glosses": [
        "(number theory) A number that is the sum of all of its divisors except itself."
      ],
      "related": [
        {
          "word": "abundant number"
        },
        {
          "word": "amicable numbers"
        },
        {
          "word": "deficient number"
        },
        {
          "word": "Mersenne prime"
        },
        {
          "word": "sociable numbers"
        }
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "translations": [
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "nombre perfecte"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "完全數"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "wánquánshù",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "完全数"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "perfect getal"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "täydellinen luku"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "masculine"
          ],
          "word": "nombre parfait"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "feminine"
          ],
          "word": "vollkommene Zahl"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "feminine"
          ],
          "word": "perfekte Zahl"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "feminine"
          ],
          "word": "ideale Zahl"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "feminine"
          ],
          "word": "fullkomin tala"
        },
        {
          "code": "sga",
          "lang": "Old Irish",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "feminine"
          ],
          "word": "áram foirbthe"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "masculine"
          ],
          "word": "numero perfetto"
        },
        {
          "alt": "かんせんすう; kanzen-su",
          "code": "ja",
          "lang": "Japanese",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "完全数"
        },
        {
          "code": "la",
          "lang": "Latin",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "masculine"
          ],
          "word": "numerus perfectus"
        },
        {
          "code": "no",
          "lang": "Norwegian",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "perfekt tall"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "masculine"
          ],
          "word": "número perfeito"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "neuter"
          ],
          "word": "număr perfect"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "soveršénnoje čisló",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "neuter"
          ],
          "word": "соверше́нное число́"
        },
        {
          "code": "sk",
          "lang": "Slovak",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "neuter"
          ],
          "word": "dokonalé číslo"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "masculine"
          ],
          "word": "número perfecto"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "a number that is the sum of all of its divisors except itself",
          "tags": [
            "neuter"
          ],
          "word": "perfekt tal"
        },
        {
          "code": "tl",
          "lang": "Tagalog",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "himpit na bilang"
        },
        {
          "code": "tr",
          "lang": "Turkish",
          "sense": "a number that is the sum of all of its divisors except itself",
          "word": "mükemmel sayı"
        }
      ]
    }
  ],
  "word": "perfect number"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "numerus perfectus"
      },
      "expansion": "Calque of Latin numerus perfectus",
      "name": "calque"
    },
    {
      "args": {
        "1": "la",
        "2": "perfectus"
      },
      "expansion": "perfectus",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "grc",
        "3": "τέλειος"
      },
      "expansion": "Ancient Greek τέλειος (téleios)",
      "name": "der"
    }
  ],
  "etymology_text": "Calque of Latin numerus perfectus, with this use of perfectus itself a semantic loan from Ancient Greek τέλειος (téleios).",
  "forms": [
    {
      "form": "perfect numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "perfect number (plural perfect numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "abundant number"
    },
    {
      "word": "amicable numbers"
    },
    {
      "word": "deficient number"
    },
    {
      "word": "Mersenne prime"
    },
    {
      "word": "sociable numbers"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms calqued from Latin",
        "English terms derived from Ancient Greek",
        "English terms derived from Latin",
        "Mandarin terms with redundant transliterations",
        "en:Number theory"
      ],
      "examples": [
        {
          "text": "The factors of 6 are 1, 2, 3 and 6, and 1 + 2 + 3 = 6, so 6 is a perfect number."
        },
        {
          "text": "The factors of 28 are 1, 2, 4, 7, 14 and 28, and 1 + 2 + 4 + 7 + 14 = 28, so 28 is a perfect number."
        }
      ],
      "glosses": [
        "A number that is the sum of all of its divisors except itself."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "divisor",
          "divisor"
        ]
      ],
      "raw_glosses": [
        "(number theory) A number that is the sum of all of its divisors except itself."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "nombre perfecte"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "完全數"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "wánquánshù",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "完全数"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "perfect getal"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "täydellinen luku"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "masculine"
      ],
      "word": "nombre parfait"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "feminine"
      ],
      "word": "vollkommene Zahl"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "feminine"
      ],
      "word": "perfekte Zahl"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "feminine"
      ],
      "word": "ideale Zahl"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "feminine"
      ],
      "word": "fullkomin tala"
    },
    {
      "code": "sga",
      "lang": "Old Irish",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "feminine"
      ],
      "word": "áram foirbthe"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "masculine"
      ],
      "word": "numero perfetto"
    },
    {
      "alt": "かんせんすう; kanzen-su",
      "code": "ja",
      "lang": "Japanese",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "完全数"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "masculine"
      ],
      "word": "numerus perfectus"
    },
    {
      "code": "no",
      "lang": "Norwegian",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "perfekt tall"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "masculine"
      ],
      "word": "número perfeito"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "neuter"
      ],
      "word": "număr perfect"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "soveršénnoje čisló",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "neuter"
      ],
      "word": "соверше́нное число́"
    },
    {
      "code": "sk",
      "lang": "Slovak",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "neuter"
      ],
      "word": "dokonalé číslo"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "masculine"
      ],
      "word": "número perfecto"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "a number that is the sum of all of its divisors except itself",
      "tags": [
        "neuter"
      ],
      "word": "perfekt tal"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "himpit na bilang"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "a number that is the sum of all of its divisors except itself",
      "word": "mükemmel sayı"
    }
  ],
  "word": "perfect number"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.