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 A114888 Multiperfect numbers, sigma(n) = k*n, which are divisible by their sums of prime factors with and without repetition. 0
 1379454720, 14182439040, 680489641226538823680000, 15229814702070563916152832000, 34111227434420791224041472000, 1423615645454579571642097845619575340668304766095889698652160000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Conjecture: the sequence is finite. LINKS Achim Flammenkamp, The Multiply Perfect Numbers Page (See here for the latest information about the search) Eric Weisstein's World of Mathematics, Multiperfect numbers EXAMPLE a(1)= 1379454720 = 2^8*3*5*7*19*37*73; sopfr(1379454720), with repetition = 160 = 2^5*5; sopfr(1379454720), without repetition = 146 = 2*73. CROSSREFS Cf. A091443, A114887. Sequence in context: A345010 A338516 A091443 * A347114 A105015 A225142 Adjacent sequences:  A114885 A114886 A114887 * A114889 A114890 A114891 KEYWORD fini,nonn AUTHOR Sven Simon, Feb 19 2006 STATUS approved

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Last modified January 27 16:33 EST 2022. Contains 350609 sequences. (Running on oeis4.)