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Perfect Number Generator

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number
A deficient number is a number that is greater than the sum of its proper divisors, a perfect number is equal to the sum of its proper divisors, and an abundant number is less than the sum of its proper divisors. For example,
28=
2
2
×7
, so the proper divisors of
28
are
1
,
2
,
4
,
7
,
14
; because
1+2+4+7+14=28
,
28
is a perfect number. Letting
s(n)
be the sum of the proper divisors of
n
, the points plotted are
(n,n-s(n))
, so blue dots fall above deficient numbers, red dots under abundant numbers, and large black dots on perfect numbers.
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