If σ(σ(n)) = 3
2 (n + 1), then n is called super-hyperperfect number. In [1] the
authors studied generalized perfect numbers, presented some conjectures and
numerical results. They conjectured that, if n = 3p−1 where p and 3p−1
2 are
primes, then n is a super-hyperperfect number. In [11] the author studied on
perfect numbers and their composition with arithmetical functions