Quasiperfect number

From Exampleproblems

In mathematics, a quasiperfect number is a natural number n for which the sum of all its divisors (the divisor function σ(n)) is equal to 2n + 1. Quasiperfect numbers are abundant numbers. No quasiperfect numbers have been found so far, but it has been shown that if any quasiperfect numbers exist, they must be greater than 10³⁵ and have at least seven distinct prime factors.

See also

• abundant number
• deficient number
• perfect number

External links

• MathWorld: Quasiperfect numberfr:Nombre quasi parfait

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