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 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. 6
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified December 5 21:07 EST 2023. Contains 367594 sequences. (Running on oeis4.)