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Infinitary Perfect Number

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Let sigma_infty(n) be the sum of the infinitary divisors of a number n. An infinitary perfect number is a number n such that sigma_infty(n)=2n. The first few are 6, 60, 90, 36720, ... (Sloane's A007357). Cohen (1990) found 14 such numbers, and 155 are known as of January 2004 (Pedersen).

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