A091082 Numbers n which when converted to base 8, 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.

42, 378, 2625, 2730, 3066, 3402, 3969, 21546, 23625, 24570, 27594, 32193, 170625, 172074, 174762, 191625, 193914, 196602, 221130, 257985, 1346625, 1376298, 1400490, 1535625, 1548666, 1572858, 1769418, 2064321, 10754625, 10922625, 11010090, 11031594, 11184810

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..33.

C. Seggelin, Numbers Divisible by Digit Permutations. [Broken link]

Example

a(1) = 42 because: 42 in base 8 is 52; 52 reversed is 25; 25 converted back to base 10 is 21 and 42 mod 21 = 0.

Prog

(PARI) /* See A091077 and use PARI script with b=8 */

Crossrefs

Cf. A091077 (same in base 3), A091078 (base 4), A091079 (base 5), A091080 (base 6), A091081 (base 7), A091083 (base 9), A031877 (base 10).

Sequence in context: A215628 A190069 A105919 * A189496 A064302 A231705

Adjacent sequences: A091079 A091080 A091081 * A091083 A091084 A091085

Keyword

base,nonn

Author

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

Extensions

More terms from Michel Marcus, Oct 10 2014

Status

approved