Perfect Number Generator

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.



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


[1] R. Fitzpatrick, "Proposition 22," Euclid's Elements in Greek: Vol. II: Books 5–9, 2005 p. 207.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.