superperfect

From super- +‎ perfect, coined by Suryanarayana in 1969.

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superperfect (not comparable)

1. (mathematics) Being or relating to a class of positive integers satisfying ${\displaystyle \sigma ^{2}(n)=\sigma (\sigma (n))=2n\,,}$ where σ is the divisor function. They are a generalization of perfect numbers.