id:A054979 - OEIS Search Results

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e-perfect numbers: numbers n such that the sum of the e-divisors (exponential divisors) of n equals 2n.

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36, 180, 252, 396, 468, 612, 684, 828, 1044, 1116, 1260, 1332, 1476, 1548, 1692, 1800, 1908, 1980, 2124, 2196, 2340, 2412, 2556, 2628, 2700, 2772, 2844, 2988, 3060, 3204, 3276, 3420, 3492, 3636, 3708, 3852, 3924, 4068, 4140, 4284, 4572, 4716 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The e-divisors (or exponential divisors) of x=Product p(i)^r(i) are all numbers of the form Product p(i)^s(i) where s(i) divides r(i) for all i.`
	REFERENCES	`R. K. Guy, Unsolved Problems In Number Theory, B17.`
	LINKS	`Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.`
	EXAMPLE	`The e-divisors of 36 are 23, 43, 29 and 49 and the sum of these = 2*36, so 36 is e-perfect.`
	CROSSREFS	`Cf. A051377, A054980.` `Sequence in context: A017054 A166708 A127657 this_sequence A102949 A017138 A120465` `Adjacent sequences: A054976 A054977 A054978 this_sequence A054980 A054981 A054982`
	KEYWORD	`nonn`
	AUTHOR	`Jud McCranie (j.mccranie(AT)comcast.net), May 29 2000`

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.

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