A268418 Numbers other than prime powers divisible by the sum, the sum of squares and the sum of cubes of their prime divisors.

12192180, 15724800, 24384360, 31449600, 36576540, 47174400, 48768720, 60960900, 62899200, 73153080, 78624000, 85345260, 94348800, 97537440, 109729620, 110073600, 121921800, 125798400, 134113980, 141523200, 146306160, 157248000, 158498340, 170690520, 182882700, 188697600, 195074880

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..100

Jean-Marie de Koninck, Florian Luca, Integers divisible by sums of powers of their prime factors, Journal of Number Theory, Volume 128, Issue 3, March 2008, Pages 557-563.

Prog

(PARI) isok(n) = my(f = factor(n)[, 1]); (#f>2) && ((n % vecsum(f)) == 0) && ((n % sum(k=1, #f, f[k]^2)) == 0) && ((n % sum(k=1, #f, f[k]^3)) == 0);

Crossrefs

Intersection of A268373 and A066031 and A190882.

Intersection of A268373 and A268417.

Sequence in context: A132291 A263391 A204888 * A286301 A022217 A133373

Adjacent sequences: A268415 A268416 A268417 * A268419 A268420 A268421

Keyword

nonn

Author

Michel Marcus, Feb 04 2016

Status

approved