"sociable number" meaning in English

See sociable number in All languages combined, or Wiktionary

Noun

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 Categories (topical): Number theory 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 Topics: mathematics, number-theory, sciences

Inflected forms

Download JSON data for sociable number meaning in English (1.7kB)

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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      ],
      "examples": [
        {
          "text": "The numbers in the sequence <1264460, 1547860, 1727636, 1305184> are sociable numbers."
        }
      ],
      "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": [
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        [
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        ]
      ],
      "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"
        }
      ],
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      "wikipedia": [
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    }
  ],
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{
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  "related": [
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      "word": "abundant number"
    },
    {
      "word": "amicable numbers"
    },
    {
      "word": "deficient number"
    },
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      "word": "perfect number"
    }
  ],
  "senses": [
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        {
          "text": "The numbers in the sequence <1264460, 1547860, 1727636, 1305184> are sociable numbers."
        }
      ],
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        "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."
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      "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."
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 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.