"sociable number" meaning in All languages combined

See sociable number on Wiktionary

Noun [English]

Forms: sociable numbers [plural]
Head templates: {{en-noun}} sociable number (plural sociable numbers)
  1. (number theory) Any of a sequence of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the next number in the sequence; in the case of the last number of the sequence, the sum of the divisors, excluding that number, is equal to the first number of the sequence. Wikipedia link: sociable number Related terms: abundant number, amicable numbers, deficient number, perfect number
    Sense id: en-sociable_number-en-noun-36J3d1VL Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Number theory Topics: mathematics, number-theory, sciences

Inflected forms

{
  "forms": [
    {
      "form": "sociable numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "sociable number (plural sociable numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "bold_text_offsets": [
            [
              69,
              85
            ]
          ],
          "text": "The numbers in the sequence <1264460, 1547860, 1727636, 1305184> are sociable numbers.",
          "type": "example"
        }
      ],
      "glosses": [
        "Any of a sequence of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the next number in the sequence; in the case of the last number of the sequence, the sum of the divisors, excluding that number, is equal to the first number of the sequence."
      ],
      "id": "en-sociable_number-en-noun-36J3d1VL",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "divisor",
          "divisor"
        ]
      ],
      "raw_glosses": [
        "(number theory) Any of a sequence of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the next number in the sequence; in the case of the last number of the sequence, the sum of the divisors, excluding that number, is equal to the first number of the sequence."
      ],
      "related": [
        {
          "word": "abundant number"
        },
        {
          "word": "amicable numbers"
        },
        {
          "word": "deficient number"
        },
        {
          "word": "perfect number"
        }
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "sociable number"
      ]
    }
  ],
  "word": "sociable number"
}
{
  "forms": [
    {
      "form": "sociable numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "sociable number (plural sociable numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "abundant number"
    },
    {
      "word": "amicable numbers"
    },
    {
      "word": "deficient number"
    },
    {
      "word": "perfect number"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Number theory"
      ],
      "examples": [
        {
          "bold_text_offsets": [
            [
              69,
              85
            ]
          ],
          "text": "The numbers in the sequence <1264460, 1547860, 1727636, 1305184> are sociable numbers.",
          "type": "example"
        }
      ],
      "glosses": [
        "Any of a sequence of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the next number in the sequence; in the case of the last number of the sequence, the sum of the divisors, excluding that number, is equal to the first number of the sequence."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "divisor",
          "divisor"
        ]
      ],
      "raw_glosses": [
        "(number theory) Any of a sequence of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the next number in the sequence; in the case of the last number of the sequence, the sum of the divisors, excluding that number, is equal to the first number of the sequence."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "sociable number"
      ]
    }
  ],
  "word": "sociable number"
}

Download raw JSONL data for sociable number meaning in All languages combined (1.6kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-21 from the enwiktionary dump dated 2025-05-01 using wiktextract (89ebc88 and e74c913). 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.