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A117732 Numbers n such that n divides s(n)^w(n), where s(n)is the sum of the digits of n, and w(n)the digital root of n. +0
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1, 2, 3, 4, 5, 6, 7, 8, 9, 24, 27, 48, 81, 192, 243, 375, 392, 512, 1728, 1944, 2187, 2401, 2592, 2916, 3456, 4374, 4608, 4802, 4913, 5184, 5832, 6561, 6912, 10368, 11664, 13824, 15552, 17576, 20736, 23328, 24576, 26244, 41472, 59049, 62208 (list; graph; listen)
OFFSET

1,2

EXAMPLE

392 is in the sequence because (1) s(392)=3+9+2=14 and w(392)=1+4=5, (2)14^5=537824 is divisible by 392.

CROSSREFS

Sequence in context: A133134 A133505 A068407 this_sequence A116960 A126957 A061862

Adjacent sequences: A117729 A117730 A117731 this_sequence A117733 A117734 A117735

KEYWORD

base,nonn

AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 14 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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