Hyperperfect number
In number theory, a k-hyperperfect number is a natural number n for which the equality n = 1 + k ( σ ( n ) − n − 1 ) {\displaystyle n=1+k(\sigma (n)-n-1)} holds, where σ(n) is the divisor function (i.e., the sum of all positive divisors of n). A hyperperfect number is a k-hyperperfect number for some integer k.