cp's OEIS Frontend

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.

%I A091080 #6 Jun 08 2025 16:15:42
%S A091080 980,1225,6020,7525,36260,45325,217700,272125,1271060,1306340,1588825,
%T A091080 1632925,7621460,7838180,9526825,9797725,45723860,46817540,47029220,
%U A091080 57154825,58521925,58786525
%N 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.
%C A091080 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.
%H A091080 C. Seggelin, <a href="http://www.plastereddragon.com/maths/asortdiv.htm">Numbers Divisible by Digit Permutations</a>. [Broken link]
%e A091080 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.
%o A091080 (PARI) /* See A091077 and use PARI script with b=6 */
%Y A091080 Cf. A091077 (same in base 3), A091078 (base 4), A091079 (base 5), A091081 (base 7), A091082 (base 8), A091083 (base 9), A031877 (base 10).
%K A091080 base,nonn
%O A091080 1,1
%A A091080 _Chuck Seggelin_, Dec 18 2003
%E A091080 More terms from _Michel Marcus_, Oct 10 2014