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Double perfection (Posted on 2018-12-28) Difficulty: 3 of 5
Find the smallest integer for which both the number of its divisors and the sum of its prime factors are perfect numbers.

Rem: Duplicate primes are summed up: e.g. 12 = 2*2*3, - so the sum of 12's prime factors is 2+2+3=7.

Bonus question: Any others?

  Submitted by Ady TZIDON    
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Solution: (Hide)

Bonus question: @OEIS A070311 Numbers n such that sopfr(n) and d(n) are both perfect numbers.

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  Subject Author Date
Solutioncomputer solutionCharlie2018-12-28 15:26:08
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