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A030513 Numbers with 4 divisors. +0
20
6, 8, 10, 14, 15, 21, 22, 26, 27, 33, 34, 35, 38, 39, 46, 51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, 95, 106, 111, 115, 118, 119, 122, 123, 125, 129, 133, 134, 141, 142, 143, 145, 146, 155, 158, 159, 161, 166, 177, 178, 183, 185, 187 (list; graph; listen)
OFFSET

1,1

COMMENT

4*a(n) are the solutions to A048272(x)=sum(d/x,(-1)^d)=4 - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 14 2002

Numbers which are the geometric counterpart of perfect numbers (equal to the sum of their proper divisors), i.e. equal to the product of their proper divisors. - Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 10 2003

Or, numbers with 3 perfect partitions. - Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 10 2009

LINKS

R. J. Mathar, Table of n, a(n) for n = 1..455

Anonymous, Multiplicatively Perfect Numbers

R. J. Mathar, Maple programs for A030638, A030637, A030636, A030635, A030634, A030633, A030632, A030631, A030630, A030629, A030628, A030627, A030626, A030516, A030515, A030514, A030513

FORMULA

Numbers which are either the product of two distinct primes (A006881) or the cube of a prime (A030078)

A000005(a(n))=4 or A002033(a(n))=3. - Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 10 2009

CROSSREFS

Cf. A007422, A030515, etc., A035533.

Cf. A000005, A002033. - Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 10 2009

Sequence in context: A036436 A036455 A007422 this_sequence A161918 A152126 A065858

Adjacent sequences: A030510 A030511 A030512 this_sequence A030514 A030515 A030516

KEYWORD

nonn,easy,nice

AUTHOR

Jeff Burch (jmburch(AT)osprey.smcm.edu)

EXTENSIONS

Edited by Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 10 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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