id:A053813 - OEIS Search Results

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Numbers which are an integral multiple of the sum of their proper divisors: prime and perfect numbers.

+0
2

2, 3, 5, 6, 7, 11, 13, 17, 19, 23, 28, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Note that numbers which are an integral multiple of the sum of their proper divisors excluding 1 (A048050) are the squares of primes (A001248)` `Subsequence of A166070. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 06 2009]`
	CROSSREFS	`Cf. A000040, A000396, A001065.` `Sequence in context: A096530 A003174 A166070 this_sequence A116974 A031402 A019438` `Adjacent sequences: A053810 A053811 A053812 this_sequence A053814 A053815 A053816`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Mar 28 2000`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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