A175754 Numbers with 48 divisors.

2520, 3360, 3780, 3960, 4200, 4320, 4620, 4680, 5280, 5400, 5460, 5544, 5760, 5880, 5940, 6048, 6120, 6240, 6552, 6600, 6840, 6930, 7020, 7140, 7392, 7800, 7980, 8064, 8160, 8190, 8280, 8316, 8568, 8580, 8736, 9000, 9120, 9180, 9450, 9504, 9576, 9600

Offset

1,1

Comments

Numbers of the forms p^47, p^23*q^1, p^15*q^2, p^11*q^3, p^7*q^5, p^3*q^3*r^2, p^7*q^2*r^1, p^11*q^1*r^1, p^5*q^3*r^1, p^5*q^1*r^1*s^1, p^3*q^2*r^1*s^1 and p^2*q^1*r^1*s^1*t^1, where p, q, r, s and t are distinct primes.

Links

T. D. Noe, Table of n, a(n) for n = 1..1000

OEIS Wiki, Index entries for number of divisors

Formula

A000005(a(n))=48.

Mathematica

Select[Range[20000], DivisorSigma[0, #]==48&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)

Prog

(PARI) is(n)=numdiv(n)==48 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A175752, A175753, A139575.

Sequence in context: A166931 A131662 A068352 * A068547 A094515 A179700

Adjacent sequences: A175751 A175752 A175753 * A175755 A175756 A175757

Keyword

nonn

Author

Jaroslav Krizek, Aug 27 2010

Status

approved