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A097464 5-infinitary perfect numbers: n such that 5-infinitary-sigma(n)=2*n. 3

%I #10 Apr 19 2016 01:07:34

%S 6,28,496,47520,288288,308474880

%N 5-infinitary perfect numbers: n such that 5-infinitary-sigma(n)=2*n.

%C Here 5-infinitary-sigma(a) means sum of 5-infinitary-divisor of a. If n=Product p_i^r_i and d=Product p_i^s_i, each s_i has a digit a<=b in its 5-ary expansion everywhere that the corresponding r_i has a digit b, then d is a 5-infinitary-divisor of n.

%C Is it certain that 308474880 is the 6th term? _M. F. Hasler_, Nov 20 2010

%F {n: A097863(n) = 2*n}.

%e Factorizations: 2*3, 2^2*7, 2^4*31, 2^5*3^3*5*11, 2^5*3^2*7*11*13, 2^10*3*5*7*19*151

%Y Cf. A074849.

%K nonn

%O 1,1

%A _Yasutoshi Kohmoto_

%E Missing a(4) inserted by _R. J. Mathar_, Nov 20 2010

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