Quasiperfect number

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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 if a quasiperfect number exists, it must be an odd square number greater than 10³⁵ and have at least seven distinct prime factors. [1]

[edit] See also

• abundant number
• deficient number
• perfect number

[edit] References

1. Singh, S. Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem (pg. 13), 1997.

[edit] External links

• MathWorld: Quasiperfect number