harshad number
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integer that is divisible by the sum of its digits
In the Vinony graph
Within Vinony's link graph, harshad number is referenced by 285 other articles, and connects out to prime number, binary numeral system and divisor.
It is catalogued under the topic Base-dependent integer sequences.
Its subject is documented across 30 Wikipedia language editions.
Wikidata facts
- Named after
- Ivan M. Niven
Show 3 more facts
- facet of
- digit sum
- significant person
- D. R. Kaprekar
- maintained by WikiProject
- WikiProject Mathematics
Sources (2)
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Encyclopedic overview
In recreational mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base n are also known as n-harshad (or n-Niven) numbers. Because being a harshad number is determined according to the base the number is expressed in, a number can be a harshad number many times over. So-called Trans-harshad numerals are sequences of the digits 0-9 which, in every base which uses all their digits, represent a Harshad number in that base.
Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "harshad" comes from the Sanskrit harṣa (joy) + da (give), meaning joy-giver. The term "Niven number" arose from a paper delivered by Ivan M. Niven at a conference on number theory in 1977.
Excerpted from Wikipedia’s “harshad number” article, available under the CC BY-SA 4.0 licence.