A175753 -id:A175753 - cp's OEIS frontend

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

Jaroslav Krizek, Aug 27 2010

nonn

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.

T. D. Noe, Table of n, a(n) for n = 1..1000
OEIS Wiki, Index entries for number of divisors

Cf. A175752, A175753, A139575.

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

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

A000005(a(n))=48.

A274814 Numbers n such that n and n+1 both have 46 divisors.

Original entry on oeis.org

2503092614937444351, 23558004745831448576, 34092301537081556991, 39615852614588039168, 40936630136879448063, 74890469244315631616, 87526152813173276672, 97270719381369782271

Offset: 1

Charles R Greathouse IV, Jul 08 2016

nonn

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
Charles R Greathouse IV, GP script to compute terms

Intersection of A005237 and A175753.

PARI
```
is(n)=numdiv(n)==46 && numdiv(n+1)==46
```

cp's OEIS Frontend

A175754 Numbers with 48 divisors.

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