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

Author

Michel Marcus, Feb 04 2016

Keywords

• nonn

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.

Crossrefs

Intersection of A268373 and A066031 and A190882.

Intersection of A268373 and A268417.

Programs

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);