Perfect Number Generator

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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, , so the proper divisors of
are
,
,
,
,
; because
,
is a perfect number. Letting
be the sum of the proper divisors of
, the points plotted are
, so blue dots fall above deficient numbers, red dots under abundant numbers, and large black dots on perfect numbers.
Contributed by: Osman Tuna Gökgöz (January 2010)
Open content licensed under CC BY-NC-SA
Snapshots
Details
[1] R. Fitzpatrick, "Proposition 22," Euclid's Elements in Greek: Vol. II: Books 5–9, 2005 p. 207.
Permanent Citation
"Perfect Number Generator"
http://demonstrations.wolfram.com/PerfectNumberGenerator/
Wolfram Demonstrations Project
Published: January 14 2010