

A091080


Numbers n which when converted to base 6, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.


6



980, 1225, 6020, 7525, 36260, 45325, 217700, 272125, 1271060, 1306340, 1588825, 1632925, 7621460, 7838180, 9526825, 9797725, 45723860, 46817540, 47029220, 57154825, 58521925, 58786525
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OFFSET

1,1


COMMENTS

Trivial cases are those numbers which upon conversion result in a number which is palindromic (m = reverse(m)), or a palindrome plus trailing zeros such that m = reverse(m)*10^z where z=number of lost zeros. Nontrivial digit loss occurs when a converted number has trailing zeros that drop off when the number is reversed.


LINKS

Table of n, a(n) for n=1..22.
C. Seggelin, Numbers Divisible by Digit Permutations. [Broken link]


EXAMPLE

a(1) = 980 because: 980 in base 6 is 4312; 4312 reversed is 2134; 2134 converted back to base 10 is 490 and 980 mod 490 = 0.


PROG

(PARI) /* See A091077 and use PARI script with b=6 */


CROSSREFS

Cf. A091077 (same in base 3), A091078 (base 4), A091079 (base 5), A091081 (base 7), A091082 (base 8), A091083 (base 9), A031877 (base 10).
Sequence in context: A172158 A327825 A108904 * A157515 A188337 A109120
Adjacent sequences: A091077 A091078 A091079 * A091081 A091082 A091083


KEYWORD

base,nonn


AUTHOR

Chuck Seggelin (barkeep(AT)plastereddragon.com), Dec 18 2003


EXTENSIONS

More terms from Michel Marcus, Oct 10 2014


STATUS

approved



