A119311 Smallest number having at least n divisors and a prime power as n-th divisor.

1, 2, 4, 8, 16, 24, 54, 48, 108, 96, 216, 192, 540, 384, 480, 768, 1296, 1152, 960, 3072, 2304, 2688, 1920, 4608, 4860, 5376, 3840, 8064, 5760, 10752, 7680, 17280, 19200, 13440, 11520, 19440, 41160, 40824, 29160, 32256, 23040, 26880, 61440, 81648

Offset

1,2

Links

Table of n, a(n) for n=1..44.

Crossrefs

Cf. A000961, A087134, A119312.

See A221647 for other sequences giving the smallest number whose n-th divisor satisfies some condition.

Sequence in context: A222089 A182763 A272709 * A305183 A360642 A112992

Adjacent sequences: A119308 A119309 A119310 * A119312 A119313 A119314

Keyword

nonn

Author

Reinhard Zumkeller, May 15 2006

Status

approved