Are you Perfect or Superperfect?

Number Theory Level 2

How many Perfect Numbers are there which are also Super Perfect?

Details and Assumptions

\(n\) is called a superperfect number when \(\sigma(\sigma(n))=2n\)

\(\sigma(n)\) denotes the sum of the divisors of \(n\) (from \(1\) to \(n\) inclusive).

Image Credit: Wikimedia Perfect Number by Deryni

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