Semiperfect number

Semiperfect number
Demonstration, with Cuisenaire rods, of the perfection of the number 6.
Total no. of termsinfinity
First terms6, 12, 18, 20, 24, 28, 30
OEIS index
  • A005835
  • Pseudoperfect (or semiperfect) numbers

In number theory, a semiperfect number or pseudoperfect number is a natural number n that is equal to the sum of all or some of its proper divisors. A semiperfect number that is equal to the sum of all its proper divisors is a perfect number.

The first few semiperfect numbers are: 6, 12, 18, 20, 24, 28, 30, 36, 40, ... (sequence A005835 in the OEIS)