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Search: id:A055153
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A055153 Numbers n such that sigma(n) = 7n/2. +0
6
4320, 4680, 26208, 20427264, 197064960, 21857648640, 57575890944, 88898072401645056, 301183421949935616, 9083288595228991885541376, 22290964134962716779872256, 230361837156847526055247872 (list; graph; listen)
OFFSET

1,1

COMMENT

Comment from Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp), May 10 2008: This sequence also contains the term 230361837156847526055247872.

Comment from Avinoam Kalma (a.kalma(AT)gmail.com), May 04 2009: 301183421949935616 also belongs to this sequence.

22290964134962716779872256 is in this sequence. [From Gerard P. Michon (g.michon(AT)att.net), May 10 2009]

LINKS

G. P. Michon, Table of n, a(n) for n=1..21

Walter Nissen, Abundancy : Some Resources

Walter Nissen, Home Page (listed in lieu of email address)

Walter Nissen, Abundancy : Some Resources

Walter Nissen, Primitive Friendly Pairs with friends < 2^34 with denom < 20000

G.P. Michon, Multiperfect and hemiperfect numbers [From Gerard P. Michon (g.michon(AT)att.net), Jun 04 2009]

EXAMPLE

Sigma(4320)=15120=7*4320/2, so 4320 is in the sequence.

MAPLE

with(numtheory); P:=proc(i) local n; for n from 1 by 1 to i do if sigma(n)/n=7/2 then; print(n); fi; od; end: P(100000000) [From Paolo P. Lava (ppl(AT)spl.at), Sep 18 2008]

MATHEMATICA

Do[If[DivisorSigma[1, m]==3.5*m, Print[m]], {m, 2*10^8}]

CROSSREFS

Cf. A007539, A000396, A005820, A027687, A000203.

Cf. A141643, A141645.

Sequence in context: A101619 A124596 A165067 this_sequence A145312 A008409 A028384

Adjacent sequences: A055150 A055151 A055152 this_sequence A055154 A055155 A055156

KEYWORD

nonn

AUTHOR

Jud McCranie (j.mccranie(AT)comcast.net), Jun 16 2000

EXTENSIONS

Terms confirmed through a(5) by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 18 2008

a(6) and a(7) found by Yasutoshi Kohmoto and confirmed by W. Bomfim (webonfim(AT)bol.com.br), Oct 19 2008

Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 19 2008, Apr 18 2009

a(8), a(10), a(12) [and above] found by Michel Marcus, added by Gerard P. Michon (g.michon(AT)att.net), Jun 04 2009

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Last modified November 21 21:21 EST 2009. Contains 167310 sequences.


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