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Quasiperfect Number

A least Abundant Number, i.e., one such that


Quasiperfect numbers are therefore the sum of their nontrivial Divisors. No quasiperfect numbers are known, although if any exist, they must be greater than $10^{35}$ and have seven or more Divisors. Singh (1997) called quasiperfect numbers Slightly Excessive Numbers.

See also Abundant Number, Almost Perfect Number, Perfect Number


Guy, R. K. ``Almost Perfect, Quasi-Perfect, Pseudoperfect, Harmonic, Weird, Multiperfect and Hyperperfect Numbers.'' §B2 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 45-53, 1994.

Singh, S. Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem. New York: Walker, p. 13, 1997.

© 1996-9 Eric W. Weisstein