Word.ws English Dictionary

Harshad number

Harshad number noun: a positive integer which is divisible by the sum of all of its digits.

Noun

Harshad number (plural Harshad numbers)

  1. A positive integer which is divisible by the sum of all of its digits.
    • The sum of digits of 24 is 2 + 4 = 6, and 24 is divisible by 6, so 24 is a Harshad number.
    Synonyms:
    Niven number

Synonyms of Harshad number

Forms of Harshad number

pluralHarshad numbers

Origin of Harshad number

Coined by Indian recreational mathematician D. R. Kaprekar, from Sanskrit हर्षद (harṣada, “giving joy”). The capitalization is likely based on mathematicians' incorrect assumption that harshad is a proper noun.

Questions about Harshad number

What does Harshad number mean?
Harshad number means a positive integer which is divisible by the sum of all of its digits.
What part of speech is Harshad number?
Harshad number is a noun.
What is the plural of Harshad number?
The plural of Harshad number is Harshad numbers.

Words near Harshad number in the dictionary

  1. harsh noise
  2. harsh noise wall
  3. harsh one's mellow
  4. harsh-like
  5. Harsha
  6. Harshad number
  7. Harshad numbers
  8. Harshas
  9. Harshaw
  10. Harshaws
  11. Harshbarger

Source and license

Adapted from Wiktionary: Harshad number (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Harshad number.” Word.ws, https://word.ws/harshad_number. Based on Wiktionary, CC BY-SA 4.0.