login
Numbers that when divided by the sum of their digits leave 17 as remainder.
1

%I #8 Feb 13 2021 07:55:16

%S 397,497,568,589,677,739,787,857,985,1397,1577,1579,1594,1757,1765,

%T 1777,1889,1936,1937,1949,1975,2278,2297,2449,2477,2569,2657,2767,

%U 2777,2791,2837,2962,2965,2984,3197,3377,3398,3475,3557,3559,3646,3737,3757,3817

%N Numbers that when divided by the sum of their digits leave 17 as remainder.

%H Carole Dubois, <a href="/A341187/b341187.txt">Table of n, a(n) for n = 1..5001</a>

%e a(1) = 397 and 397 is 19*20 with remainder 17;

%e a(2) = 497 and 497 is 20*24 with remainder 17; etc.

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

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Carole Dubois_, Feb 06 2021