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A354073 Multiply-perfect numbers that are the sum of the divisors of some number. 2

%I #10 Jul 16 2022 00:53:17

%S 1,6,28,120,496,672,30240,32760,523776,2178540,23569920,33550336,

%T 45532800,142990848,459818240,1379454720,1476304896

%N Multiply-perfect numbers that are the sum of the divisors of some number.

%C Conjecture: 8128 is only multiply-perfect number that is not in this sequence.

%C The distinct values of A000203(A066961(n)).

%e Number 28 is in the sequence because sigma(12) = 28.

%o (Magma) Set(Sort([&+Divisors(m): m in [1..10^7] | IsIntegral(&+Divisors(&+Divisors(m)) / &+Divisors(m))]))

%Y Intersection of A007691 and A002191.

%Y Cf. A000203, A066961, A354072, A354074.

%K nonn,more

%O 1,2

%A _Jaroslav Krizek_, May 16 2022

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Last modified April 28 12:59 EDT 2024. Contains 372085 sequences. (Running on oeis4.)