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A175750
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Numbers with 42 divisors.
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3
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2880, 4032, 4800, 6336, 7488, 9408, 9792, 10944, 11200, 13248, 14580, 15552, 15680, 16704, 17600, 17856, 20412, 20800, 21312, 23232, 23328, 23616, 24768, 27072, 27200, 30400, 30528, 32076, 32448, 33984, 34496, 35136, 36450, 36800, 37908, 38592, 38720, 40768
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OFFSET
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1,1
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COMMENTS
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Numbers of the forms p^41, p^20*q^1, p^13*q^2, p^6*q^5 and p^6*q^2*r^1, where p, q, and r are distinct primes.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
OEIS Wiki, Index entries for number of divisors
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FORMULA
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A000005(a(n))=42.
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MATHEMATICA
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Select[Range[50000], DivisorSigma[0, #]==42&] (* Vladimir Joseph Stephan Orlovsky, May 04 2011 *)
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PROG
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(PARI) is(n)=numdiv(n)==42 \\ Charles R Greathouse IV, Jun 19 2016
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CROSSREFS
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Cf. A137484, A137488.
Sequence in context: A081427 A101999 A066174 * A179703 A260369 A134856
Adjacent sequences: A175747 A175748 A175749 * A175751 A175752 A175753
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KEYWORD
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nonn
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AUTHOR
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Jaroslav Krizek, Aug 27 2010
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EXTENSIONS
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Extended by T. D. Noe, May 08 2011
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STATUS
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approved
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