A244670 Product of divisors of n / sum of divisors of n for n such that product of divisors of n is divisible by sum of divisors of n.

1, 3, 392, 11250, 131769, 1568294784, 501126, 119439360000000, 6566468639062500, 39226324511250000, 15780962, 162778775259375000, 2966827112704, 22417760034702144000000000000, 1801703513076518898, 30261936128, 3531477204506250000, 5876813016539072244

Offset: 1

Author

Jaroslav Krizek, Jul 04 2014

Keywords

• nonn

Examples

			For n = 4; A145551(4) = 30; A244668(30) = 11250.
		

Crossrefs

Cf. A007955, A000203, A145551, A244668, A244669.

Programs

Magma

[Numerator((&*[d: d in Divisors(n)]) / (&+[d: d in Divisors(n)])): n in [1..10000] | Denominator((&*[d: d in Divisors(n)]) / (&+[d: d in Divisors(n)])) eq 1]

Formula

a(n) = A007955(A145551(n)) / A000203(A145551(n)) = A244668(A145551(n)).