Editing Table of divisors (section)

== Key to the tables ==

*[[Divisor function | ''d''(''n'')]] is the number of the positive divisors of ''n'', including 1 and ''n'' itself
*[[Divisor function | σ(''n'')]] is the sum of the positive divisors of ''n'', including 1 and ''n'' itself
*[[Divisor function | ''s''(''n'')]] is the sum of the proper divisors of ''n'', including 1 but not ''n'' itself; that is,  ''s''(''n'')&nbsp;=&nbsp;σ(''n'')&nbsp;&minus;&nbsp;''n''
*a [[deficient number]] is greater than the sum of its proper divisors; that is, ''s''(''n'')&nbsp;<&nbsp;''n''
*a [[perfect number]] equals the sum of its proper divisors; that is, ''s''(''n'')&nbsp;=&nbsp;''n''
*an [[abundant number]] is lesser than the sum of its proper divisors; that is, ''s''(''n'')&nbsp;>&nbsp;''n''
*a [[highly abundant number]] has a sum of positive divisors that is greater than any lesser number; that is, σ(''n'') > σ(''m'') ''for every positive integer m'' < ''n''. Counterintuitively, the first seven ''highly abundant'' numbers (as well as the ninth) are not ''abundant'' numbers.
*a [[prime number]] has only 1 and itself as divisors; that is, ''d''(''n'')&nbsp;=&nbsp;2
*a [[composite number]] has more than just 1 and itself as divisors; that is, ''d''(''n'')&nbsp;>&nbsp;2
*a [[highly composite number]] has a number of positive divisors that is greater than any lesser number; that is, ''d''(''n'') > ''d''(''m'') ''for every positive integer m'' < ''n''. Counterintuitively, the first two ''highly composite'' numbers are not ''composite'' numbers.
*a [[superior highly composite number]] has a ratio between its number of divisors and itself raised to some positive power that equals or is greater than any other number; that is, ''there exists some ε such that'' <math>\frac{d(n)}{n^\varepsilon}\geq\frac{d(m)}{m^\varepsilon}</math> ''for every other positive integer m''
*a [[primitive abundant number]] is an ''abundant'' number whose proper divisors are all ''deficient'' numbers
*a [[weird number]] is a number that is ''abundant'' but not [[semiperfect]]; that is, ''no subset of the proper divisors of n sum to n''