A062903 -id:A062903 - cp's OEIS frontend

A062904 Numbers n such that n and its reversal are both multiples of 14.

252, 434, 616, 686, 868, 2002, 2072, 2254, 2436, 2520, 2590, 2618, 2688, 2702, 2772, 2954, 4004, 4074, 4256, 4340, 4438, 4522, 4592, 4704, 4774, 4956, 6006, 6076, 6160, 6258, 6342, 6524, 6594, 6706, 6776, 6860, 6958, 8008, 8078, 8162, 8344, 8526, 8596

Offset: 1

Amarnath Murthy, Jul 01 2001

			2254 and 4522 are both multiples of 14.

Robert Israel, Table of n, a(n) for n = 1..10000

Cf. A062903, A062905, A062906, A062907.

filter:= proc(n) local L,j;
  L:= convert(n,base,10);
  add(10^(j-1)*L[-j],j=1..nops(L)) mod 14 = 0
end proc:
select(filter, [seq(seq(seq(a*10^d+x,x=((-a*10^d) mod 14)..10^d-2,14),a=2..8,2),d=1..4)]); # Robert Israel, May 11 2018

Select[14*Range[700],Divisible[FromDigits[Reverse[IntegerDigits[ #]]],14]&] (* Harvey P. Dale, Jul 25 2012 *)

isok(n) = !(n % 14) && !(fromdigits(Vecrev(digits(n))) % 14); \\ Michel Marcus, May 12 2018

More terms from Erich Friedman, Jul 02 2001

A062902 Number and its reversal are both multiples of 12.

Original entry on oeis.org

0, 48, 84, 216, 252, 276, 408, 420, 444, 468, 480, 612, 636, 672, 696, 804, 828, 840, 864, 888, 2100, 2112, 2124, 2136, 2148, 2160, 2172, 2184, 2196, 2304, 2316, 2328, 2340, 2352, 2364, 2376, 2388, 2508, 2520, 2532, 2544, 2556, 2568, 2580, 2592, 2700, 2712

Offset: 1

Amarnath Murthy, Jul 01 2001

Numbers divisible by 12 with reversal divisible by 4. - Robert Israel, May 04 2025

			216 and 612 are both multiples of 12.

Robert Israel, Table of n, a(n) for n = 1..10000

Cf. A062897 (2), A062898 (4), A062899 (6), A062900 (8), A062901 (7), A062903 (13), A062904 (14), A062905 (15), A062906 (17), A062907 (19).

Cf. A004086, A008594.

n := 12; stop := 2800; m := 0; while m < stop do rev := int_reverse(m); if rev mod n = 0 then write(m," "); end; inc(m,n); end;

rev:= proc(n) local L,i;
  L:= convert(n,base,10);
  add(L[-i]*10^(i-1),i=1..nops(L))
end proc:
select(t -> rev(t) mod 12 = 0, [seq(i,i=0..3000,12)]); # Robert Israel, May 04 2025

Corrected and extended by Dean Hickerson, Jul 06 2001

Offset changed by Georg Fischer, Sep 08 2022

cp's OEIS Frontend

A062904 Numbers n such that n and its reversal are both multiples of 14.

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