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Multiamicable numbers
1995
Mathematics of Computation
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Multiamicable numbers are a natural generalization of amicable numbers: two numbers form a multiamicable pair if the sum of the proper divisors of each is a multiple of the other. Many other generalizations have been considered in the past. This paper reviews those earlier generalizations and gives examples and properties of multiamicable pairs. It includes a proof that the set of all multiamicable numbers has density 0.
doi:10.1090/s0025-5718-1995-1308449-6
fatcat:7vaohkhjybfm7h4zfwaxantuay