Deficient Number

Pronunciation: /də fɪ ʃɪnt nʌm bər/ Explain

A deficient number is an integer such that the sum of its proper divisors is less than the number itself. For example, 12 is a deficient number. The proper divisor of 12 are 1, 3, 4. The sum of the proper divisors is 1+3+4=8. 8<12 so 12 is a deficient number.

All prime numbers are deficient. The only proper divisor of a prime number is 1. The sum of 1 is 1, which is less than the prime number.

Cite this article as:

McAdams, David E. Deficient Number. 7/4/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/d/deficientnumber.html.

Revision History

7/4/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
6/18/2018: Initial version. (McAdams, David E.)

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