Art of Problem Solving

Proper divisor: Difference between revisions

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A '''proper divisor''' of a [[positive integer]] <math>n</math> is any [[divisor]] of <math>n</math> other than <math>n</math> itself.  Thus, [[prime number]]s have exactly one proper divisor, 1, and every other number has at least two proper divisors.
A '''proper divisor''' of a [[positive integer]] <math>n</math> is any [[divisor]] of <math>n</math> other than <math>n</math> itself.  Thus, [[prime number]]s have exactly one proper divisor, 1, and every other number has at least two proper divisors.


== See Also ==
*[[Deficient number]]
*[[Abundant number]]
*[[Perfect number]]
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Revision as of 21:56, 25 February 2014

A proper divisor of a positive integer $n$ is any divisor of $n$ other than $n$ itself. Thus, prime numbers have exactly one proper divisor, 1, and every other number has at least two proper divisors.

See Also

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