Are you Perfect or Superperfect?

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

Details and Assumptions

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

σ(n)\sigma(n) denotes the sum of the divisors of nn (from 11 to nn inclusive).


Image Credit: Wikimedia Perfect Number by Deryni
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