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A268417 Numbers other than prime powers divisible by the sum and the sum of squares of their prime divisors. 1
99528, 117040, 143520, 199056, 234080, 287040, 288288, 294216, 298584, 349440, 357357, 383040, 398112, 430560, 468160, 574080, 576576, 585200, 588432, 597168, 631488, 698880, 717600, 766080, 796224, 819280, 861120, 864864, 870870, 882648, 895752, 901824, 936320, 957000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Intersection of A066031 and A190882.

LINKS

Table of n, a(n) for n=1..34.

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);

CROSSREFS

Cf. A066031, A190882.

Sequence in context: A254842 A138732 A108224 * A232188 A032428 A204523

Adjacent sequences:  A268414 A268415 A268416 * A268418 A268419 A268420

KEYWORD

nonn

AUTHOR

Michel Marcus, Feb 04 2016

STATUS

approved

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Last modified October 15 21:06 EDT 2018. Contains 316237 sequences. (Running on oeis4.)