id:A008474 - OEIS Search Results

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If n = Product (p_j^k_j) then a(n) = Sum (p_j + k_j).

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0, 3, 4, 4, 6, 7, 8, 5, 5, 9, 12, 8, 14, 11, 10, 6, 18, 8, 20, 10, 12, 15, 24, 9, 7, 17, 6, 12, 30, 13, 32, 7, 16, 21, 14, 9, 38, 23, 18, 11, 42, 15, 44, 16, 11, 27, 48, 10, 9, 10, 22, 18, 54, 9, 18, 13, 24, 33, 60, 14, 62, 35, 13, 8, 20, 19, 68, 22, 28, 17, 72, 10, 74, 41, 11, 24, 20, 21 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(1) = 0 by convention, but could equally be taken to be 1 or 2.`
	LINKS	`Eric Weisstein's World of Mathematics, Prime Factorization`
	FORMULA	`Additive with a(p^e) = p + e.`
	MATHEMATICA	`A008474[n_]:=Plus@@Flatten[FactorInteger[n]]; Table[A008474[n], {n, 200}] (Seidov)`
	CROSSREFS	`Cf. A107737, A107738.` `Sequence in context: A088847 A120613 A117571 this_sequence A111611 A100478 A112376` `Adjacent sequences: A008471 A008472 A008473 this_sequence A008475 A008476 A008477`
	KEYWORD	`nonn`
	AUTHOR	`Olivier Gerard (ogerard(AT)ext.jussieu.fr)`
	EXTENSIONS	`More terms from Zak Seidov (zakseidov(AT)yahoo.com), May 23 2005`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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