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Table of divisors
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Table of divisors : ウィキペディア英語版
Table of divisors

The tables below list all of the divisors of the numbers 1 to 1000.
A divisor of an integer ''n'' is an integer ''m'', say, for which ''n''/''m'' is again an integer (which is necessarily also a divisor of ''n''). For example, 3 is a divisor of 21, since 21/3 = 7 (and 7 is also a divisor of 21).
If ''m'' is a divisor of ''n'' then so is −''m''. The tables below only list positive divisors.
== Key to the tables ==

*''d''(''n'') is the number of positive divisors of ''n'', including 1 and ''n'' itself
*σ(''n'') is the sum of all the positive divisors of ''n'', including 1 and ''n'' itself
*''s''(''n'') is the sum of the proper divisors of ''n'', which does not include ''n'' itself; that is, ''s''(''n'') = σ(''n'') − ''n''
*a perfect number equals the sum of its proper divisors; that is, ''s''(''n'') = ''n''; the only perfect numbers between 1 and 1000 are 6, 28 and 496
*amicable numbers and sociable numbers are numbers where the sum of their proper divisors form a cycle; the only examples below 1000 are 220 and 284
*a deficient number is greater than the sum of its proper divisors; that is, ''s''(''n'') < ''n''
*an abundant number is less than the sum of its proper divisors; that is, ''s''(''n'') > ''n''
*a prime number has only 1 and itself as divisors; that is, ''d''(''n'') = 2. Prime numbers are always deficient as ''s''(''n'')=1

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