"digit sum" meaning in English

See digit sum in All languages combined, or Wiktionary

Noun

Forms: digit sums [plural]
Head templates: {{en-noun}} digit sum (plural digit sums)
  1. (mathematics, of a positive integer) The sum of all digits. Categories (topical): Mathematics
    Sense id: en-digit_sum-en-noun-kNihpda0 Topics: mathematics, sciences
  2. (mathematics, of a positive integer) the number obtained when repeatedly applying above described operation until arriving at a single-digit number. Categories (topical): Mathematics Translations (single operation): tværsum [common-gender] (Danish), Quersumme [feminine] (German), Ziffernsumme [feminine] (German)
    Sense id: en-digit_sum-en-noun-Sfkwp8uV Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 14 86 Topics: mathematics, sciences Disambiguation of 'single operation': 10 90
The following are not (yet) sense-disambiguated
Translations (iterated digit sum): tværsum [common-gender] (Danish), reduceret tværsum [common-gender] (Danish), itereret tværsum [common-gender] (Danish), einstellige Quersumme [feminine] (German), iterierte Quersumme [feminine] (German)
Disambiguation of 'iterated digit sum': 49 51

Inflected forms

Download JSON data for digit sum meaning in English (3.9kB)

{
  "forms": [
    {
      "form": "digit sums",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "digit sum (plural digit sums)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The digit sum of 517 is 5 + 1 + 7 = 13."
        },
        {
          "ref": "2004, J. F. Humphreys, M. Y. Prest, Numbers, Groups and Codes, Cambridge University Press, page 49",
          "text": "Given an integer X written in base 10 (as is usual), compute the sum of the digits of X: call the result the digit sum of X. If the digit sum is greater than 9, we form the digit sum again. Continue in this way to obtain the iterated digit sum which is at most 9.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The sum of all digits."
      ],
      "id": "en-digit_sum-en-noun-kNihpda0",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sum",
          "sum"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a positive integer) The sum of all digits."
      ],
      "raw_tags": [
        "of a positive integer"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "14 86",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "The digit sum of 517 is 4, since 5 + 1 + 7 = 13 and 1 + 3 = 4."
        },
        {
          "ref": "2012, Kiran Parulekar, Amazing Properties of Squares & Their Calculations, Kiran Anil Parulekar, page 17",
          "text": "The definition is that to find the digit sum of any number, add all the digits in the number. If number is a one digit no. then stop else add all the digits in this new number. Continue this process till we get one digit number.",
          "type": "quotation"
        },
        {
          "ref": "2002, Paul Swan, Investigating Patterns in Number Relationships, R.I.C. Publications, page 1",
          "text": "Every number has a digit sum. The digit sum of 7 is seven. The digit sum of 62 is eight (6 + 2). The digit sum of 728 is also eight (7 + 2 + 8=17, 1 + 7 = 8). The digit sum of a number is found by adding all the digits in the number until a single digit is left.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "the number obtained when repeatedly applying above described operation until arriving at a single-digit number."
      ],
      "id": "en-digit_sum-en-noun-Sfkwp8uV",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a positive integer) the number obtained when repeatedly applying above described operation until arriving at a single-digit number."
      ],
      "raw_tags": [
        "of a positive integer"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "10 90",
          "code": "da",
          "lang": "Danish",
          "sense": "single operation",
          "tags": [
            "common-gender"
          ],
          "word": "tværsum"
        },
        {
          "_dis1": "10 90",
          "code": "de",
          "lang": "German",
          "sense": "single operation",
          "tags": [
            "feminine"
          ],
          "word": "Quersumme"
        },
        {
          "_dis1": "10 90",
          "code": "de",
          "lang": "German",
          "sense": "single operation",
          "tags": [
            "feminine"
          ],
          "word": "Ziffernsumme"
        }
      ]
    }
  ],
  "translations": [
    {
      "_dis1": "49 51",
      "code": "da",
      "lang": "Danish",
      "sense": "iterated digit sum",
      "tags": [
        "common-gender"
      ],
      "word": "tværsum"
    },
    {
      "_dis1": "49 51",
      "code": "da",
      "lang": "Danish",
      "sense": "iterated digit sum",
      "tags": [
        "common-gender"
      ],
      "word": "reduceret tværsum"
    },
    {
      "_dis1": "49 51",
      "code": "da",
      "lang": "Danish",
      "sense": "iterated digit sum",
      "tags": [
        "common-gender"
      ],
      "word": "itereret tværsum"
    },
    {
      "_dis1": "49 51",
      "code": "de",
      "lang": "German",
      "sense": "iterated digit sum",
      "tags": [
        "feminine"
      ],
      "word": "einstellige Quersumme"
    },
    {
      "_dis1": "49 51",
      "code": "de",
      "lang": "German",
      "sense": "iterated digit sum",
      "tags": [
        "feminine"
      ],
      "word": "iterierte Quersumme"
    }
  ],
  "word": "digit sum"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns"
  ],
  "forms": [
    {
      "form": "digit sums",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "digit sum (plural digit sums)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The digit sum of 517 is 5 + 1 + 7 = 13."
        },
        {
          "ref": "2004, J. F. Humphreys, M. Y. Prest, Numbers, Groups and Codes, Cambridge University Press, page 49",
          "text": "Given an integer X written in base 10 (as is usual), compute the sum of the digits of X: call the result the digit sum of X. If the digit sum is greater than 9, we form the digit sum again. Continue in this way to obtain the iterated digit sum which is at most 9.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The sum of all digits."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sum",
          "sum"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a positive integer) The sum of all digits."
      ],
      "raw_tags": [
        "of a positive integer"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The digit sum of 517 is 4, since 5 + 1 + 7 = 13 and 1 + 3 = 4."
        },
        {
          "ref": "2012, Kiran Parulekar, Amazing Properties of Squares & Their Calculations, Kiran Anil Parulekar, page 17",
          "text": "The definition is that to find the digit sum of any number, add all the digits in the number. If number is a one digit no. then stop else add all the digits in this new number. Continue this process till we get one digit number.",
          "type": "quotation"
        },
        {
          "ref": "2002, Paul Swan, Investigating Patterns in Number Relationships, R.I.C. Publications, page 1",
          "text": "Every number has a digit sum. The digit sum of 7 is seven. The digit sum of 62 is eight (6 + 2). The digit sum of 728 is also eight (7 + 2 + 8=17, 1 + 7 = 8). The digit sum of a number is found by adding all the digits in the number until a single digit is left.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "the number obtained when repeatedly applying above described operation until arriving at a single-digit number."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a positive integer) the number obtained when repeatedly applying above described operation until arriving at a single-digit number."
      ],
      "raw_tags": [
        "of a positive integer"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "single operation",
      "tags": [
        "common-gender"
      ],
      "word": "tværsum"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "single operation",
      "tags": [
        "feminine"
      ],
      "word": "Quersumme"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "single operation",
      "tags": [
        "feminine"
      ],
      "word": "Ziffernsumme"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "iterated digit sum",
      "tags": [
        "common-gender"
      ],
      "word": "tværsum"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "iterated digit sum",
      "tags": [
        "common-gender"
      ],
      "word": "reduceret tværsum"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "iterated digit sum",
      "tags": [
        "common-gender"
      ],
      "word": "itereret tværsum"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "iterated digit sum",
      "tags": [
        "feminine"
      ],
      "word": "einstellige Quersumme"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "iterated digit sum",
      "tags": [
        "feminine"
      ],
      "word": "iterierte Quersumme"
    }
  ],
  "word": "digit sum"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 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.