"happy number" meaning in English

See happy number in All languages combined, or Wiktionary

Noun

Forms: happy numbers [plural]
Head templates: {{en-noun}} happy number (plural happy numbers)
  1. (mathematics) Any number that eventually reaches 1 after some number of iterations of replacing each of its digits by the sum of that digit's squares. Categories (topical): Mathematics
    Sense id: en-happy_number-en-noun-7zlKWk7V Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for happy number meaning in English (1.3kB)

{
  "forms": [
    {
      "form": "happy numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "happy number (plural happy numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "antonyms": [
        {
          "word": "sad number"
        },
        {
          "word": "unhappy number"
        }
      ],
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "13 is a happy number because 1² + 3² is 10, and 1² + 0² is 1.",
          "type": "example"
        }
      ],
      "glosses": [
        "Any number that eventually reaches 1 after some number of iterations of replacing each of its digits by the sum of that digit's squares."
      ],
      "id": "en-happy_number-en-noun-7zlKWk7V",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "digit",
          "digit"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "square",
          "square"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any number that eventually reaches 1 after some number of iterations of replacing each of its digits by the sum of that digit's squares."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "happy number"
}
{
  "forms": [
    {
      "form": "happy numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "happy number (plural happy numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "antonyms": [
        {
          "word": "sad number"
        },
        {
          "word": "unhappy number"
        }
      ],
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "13 is a happy number because 1² + 3² is 10, and 1² + 0² is 1.",
          "type": "example"
        }
      ],
      "glosses": [
        "Any number that eventually reaches 1 after some number of iterations of replacing each of its digits by the sum of that digit's squares."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "digit",
          "digit"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "square",
          "square"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any number that eventually reaches 1 after some number of iterations of replacing each of its digits by the sum of that digit's squares."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "happy number"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.