A341174 Numbers that when divided by the sum of their digits leave 7 as remainder.

29, 37, 71, 77, 85, 127, 128, 143, 215, 217, 227, 295, 296, 307, 319, 326, 329, 425, 431, 436, 439, 449, 455, 503, 524, 553, 577, 581, 583, 587, 623, 670, 707, 722, 727, 748, 755, 767, 821, 833, 871, 904, 908, 919, 920, 947, 1007, 1019, 1027, 1085, 1117, 1118, 1138, 1151, 1159

Offset: 1

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

• base
• nonn

Examples

			a(1) = 29 and 29 is 11*2 with remainder 7;
a(2) = 37 and 37 is 10*3 with remainder 7; 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

PARI

isok(n) = n%sumdigits(n) == 7; \\ Michel Marcus, Feb 06 2021