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A085124 Smallest multiple of n whose digital product is also a multiple of n, or 0 if no such number exists. 9

%I #13 Mar 30 2014 17:54:21

%S 1,2,3,4,5,6,7,8,9,0,0,168,0,378,135,48,0,36,0,0,273,0,0,168,525,0,

%T 999,476,0,0,0,288,0,0,175,1296,0,0,0,0,0,378,0,0,495,0,0,384,3577,0,

%U 0,0,0,1296,0,728,0,0,0,0,0,0,1197,448,0,0,0,0,0,0,0,1368,0,0,3525,0,0,0,0,0

%N Smallest multiple of n whose digital product is also a multiple of n, or 0 if no such number exists.

%C a(n) = 0 if n is not a term of A002473 (i.e., not a highly composite number).

%C a(n) = 0 if n = 10k.

%C Conjecture: otherwise, a(n) is positive.

%C Sequence may be redefined to avoid large number of zeros by restricting it to members of A002473 which are not divisible by 10.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Jul 06 2003

%E More terms from _David Wasserman_, Jan 27 2005

%E Comments edited by _Jon E. Schoenfield_, Mar 30 2014

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Last modified May 11 07:10 EDT 2024. Contains 372388 sequences. (Running on oeis4.)