Difference between revisions of "Proper divisor"
(proper divisors of 1, positive integers) |
|||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
| − | 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 | + | A '''proper divisor''' of a [[positive integer]] <math>n</math> is any [[divisor]] of <math>n</math> other than <math>n</math> itself. Thus <math>1</math> has no proper divisors, [[prime number]]s have exactly one proper divisor <math>1</math>, and all other positive integers have at least two proper divisors. |
| + | == See Also == | ||
| + | *[[Deficient number]] | ||
| + | *[[Abundant number]] | ||
| + | *[[Perfect number]] | ||
| + | *[[2017 USAJMO Problems/Problem 4]] | ||
{{stub}} | {{stub}} | ||
Latest revision as of 15:27, 10 May 2021
A proper divisor of a positive integer 
is any divisor of other than itself. Thus 
has no proper divisors, prime numbers have exactly one proper divisor , and all other positive integers have at least two proper divisors.
See Also
This article is a stub. Help us out by expanding it.
