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Definition of Perfect Numbers

Meaning of perfect numbers

A perfect number: a number is perfect when the sum of its divisors (except the number itself) equals the given number.

Theorem connecting perfect and prime numbers.

Examples of perfect numbers

  • 6: The divisors of 6 are 1, 2, 3 & 6. To show that this is a perfect number, we sum up all the divisors except the number itself.
    • 1 + 2 + 3 = 6
  • 28
    • 1 + 2 + 4 + 7 + 14 = 28
  • 496 and 8128 are also perfect numbers.