id:A114888 - OEIS Search Results

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Multiperfect numbers, sigma(n) = k*n, which are divisible by their sums of prime factors with and without repetition.

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1379454720, 14182439040, 680489641226538823680000, 15229814702070563916152832000, 34111227434420791224041472000, 1423615645454579571642097845619575340668304766095889698652160000000 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Conjecture: the sequence is finite.`
	LINKS	`Achim Flammenkamp, List with multiperfect numbers` `Eric Weisstein's World of Mathematics, Multiperfect numbers`
	EXAMPLE	`a(0)= 1379454720 = 2^8357193773` `sofpr(1379454720),with rep.) = 160 = 2^55` `sofpr(1379454720),without rep.) = 146 = 273`
	CROSSREFS	`Cf. A091443, A114887.` `Sequence in context: A113641 A068746 A091443 this_sequence A105015 A069320 A129249` `Adjacent sequences: A114885 A114886 A114887 this_sequence A114889 A114890 A114891`
	KEYWORD	`fini,nonn`
	AUTHOR	`Sven Simon (sven-h.simon(AT)t-online.de), Feb 19 2006`

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Last modified November 29 12:42 EST 2009. Contains 167602 sequences.

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