Perfect Numbers
Page 2 of 6


  • Complete the following table. This is just for practice. The table does not necessarily pertain to any of the questions that follow.

    Number
    Proper Divisors
    Sum of Proper Divisors Classification
    5
    Deficient
    Perfect
    Abundant
    6
    Deficient
    Perfect
    Abundant
    15
    Deficient
    Perfect
    Abundant
    24
    Deficient
    Perfect
    Abundant
    32
    Deficient
    Perfect
    Abundant

  • Of all natural numbers, what is the smallest perfect number?

  • Of all natural numbers, what is the smallest abundant number?

  • Find another perfect number less than 30. Show that it is indeed the sum of its proper divisors.
  • When you are satisfied with your results, print this page and continue with the next.