A117732 - OEIS

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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.

1, 2, 3, 4, 5, 6, 7, 8, 9, 24, 27, 48, 81, 192, 243, 288, 375, 392, 486, 512, 576, 648, 729, 864, 972, 1296, 1458, 1728, 1944, 2187, 2401, 2592, 2916, 3456, 4374, 4608, 4802, 4913, 5184, 5832, 6561, 6912, 10368, 11664, 13824, 15552, 17576, 19683, 20736, 23328 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	LINKS	`Table of n, a(n) for n=1..50.`
	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.`
	PROG	`(PARI) a010888(n) = (n-1)%9+1;` `isok(n) = !(sumdigits(n)^a010888(n) % n); \\ Michel Marcus, Feb 27 2014`
	CROSSREFS	`Cf. A007953, A010888.` `Sequence in context: A133505 A068407 A334601 * A116960 A126957 A228187` `Adjacent sequences: A117729 A117730 A117731 * A117733 A117734 A117735`
	KEYWORD	`base,nonn`
	AUTHOR	`Luc Stevens (lms022(AT)yahoo.com), Apr 14 2006`
	EXTENSIONS	`Corrected by Michel Marcus, Feb 27 2014`
	STATUS	`approved`

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Last modified January 16 15:53 EST 2021. Contains 340206 sequences. (Running on oeis4.)