A341186 Numbers that when divided by the sum of their digits leave 16 as remainder.

458, 586, 596, 757, 764, 776, 917, 928, 956, 959, 1099, 1376, 1496, 1529, 1676, 1682, 1783, 1787, 1835, 1856, 1954, 1994, 2294, 2296, 2396, 2447, 2467, 2576, 2638, 2753, 2756, 2798, 2809, 2906, 2936, 2980, 3059, 3296, 3365, 3476, 3493, 3518, 3656, 3664, 3671

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000 (terms 1..5001 from Carole Dubois).

Example

a(1) = 458 and 458 is 17*26 with remainder 16;
a(2) = 586 and 586 is 19*30 with remainder 16; etc.

Mathematica

A341186Q[k_] := Mod[k, Total[IntegerDigits[k]]] == 16;
Select[Range[5000], A341186Q] (* Paolo Xausa, Dec 02 2025 *)

Crossrefs

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

Sequence in context: A201257 A252400 A252399 * A252407 A252408 A251474

Adjacent sequences: A341183 A341184 A341185 * A341187 A341188 A341189

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved