A quasiperfect number, called a "slightly excessive number" by Singh (1997), is 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
and have seven or more distinct prime factors
(Hagis and Cohen 1982).
and have seven or more distinct prime factors
(Hagis and Cohen 1982).
