Infinary Perfect Number

Let be the Sum of the Infinary Divisors of a number .An infinary perfect number is a number such that . Cohen (1990) found 14 such numbers.The first few are 6, 60, 90, 36720, ... (Sloane's A007357).

References

Cohen, G. L. ``On an Integer's Infinary Divisors.'' Math. Comput. 54, 395-411, 1990.

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 54, 1994.

Sloane, N. J. A. SequenceA007357/M4267in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

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