Infinitary Multiperfect Number

Let sigma_infty(n) be the sum of the infinitary divisors of a number n. An infinitary k-multiperfect number is a number n such that sigma_infty(n)=kn. Cohen (1990) found 13 infinitary 3-multiperfects, seven 4-multiperfects, and two 5-multiperfects.

See also

Infinitary Perfect Number

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Cohen, G. L. "On an Integer's Infinitary Divisors." Math. Comput. 54, 395-411, 1990.Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 54, 1994.

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Infinitary Multiperfect Number

Cite this as:

Weisstein, Eric W. "Infinitary Multiperfect Number." From MathWorld--A Wolfram Web Resource.

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