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A268418
Numbers other than prime powers divisible by the sum, the sum of squares and the sum of cubes of their prime divisors.
1
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
KEYWORD
nonn
AUTHOR
Michel Marcus, Feb 04 2016
STATUS
approved