A341181 Numbers that when divided by the sum of their digits leave 14 as remainder.

269, 286, 574, 575, 718, 728, 793, 794, 862, 881, 889, 964, 974, 1187, 1294, 1438, 1477, 1493, 1582, 1646, 1648, 1694, 1726, 1789, 1819, 1870, 1874, 1877, 1952, 1990, 2158, 2258, 2446, 2498, 2564, 2590, 2594, 2674, 2689, 2717, 2734, 2774, 2845, 2870, 2954, 2978

Offset: 1

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

• base
• nonn

Examples

			a(1) = 269 and 269 is 17*15 with remainder 14;
a(2) = 286 and 286 is 16*17 with remainder 14; etc.
		

Links

• Carole Dubois, Table of n, a(n) for n = 1..5001

Crossrefs

Cf. A005349 (Niven numbers: remainder = 0), A209871 (Quasi-Niven numbers: remainder = 1), A341169 to A341182 (remainders = 2 to 15).

Programs

Mathematica

Select[Range[3000],Mod[#,Total[IntegerDigits[#]]]==14&] (* Harvey P. Dale, Dec 27 2024 *)