cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 11-20 of 23 results. Next

A341175 Numbers that when divided by the sum of their digits leave 8 as remainder.

Original entry on oeis.org

28, 74, 88, 118, 173, 176, 208, 229, 272, 346, 371, 376, 388, 428, 463, 467, 470, 488, 554, 559, 580, 664, 668, 680, 698, 773, 778, 806, 808, 814, 848, 926, 931, 932, 952, 976, 1018, 1048, 1058, 1064, 1079, 1096, 1108, 1163, 1165, 1184, 1262, 1282, 1361, 1384, 1385, 1388
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 28 and 28 is 10*2 with remainder 8;
a(2) = 74 and 74 is 11*6 with remainder 8; etc.

Links

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) == 8; \\ Michel Marcus, Feb 06 2021

A341176 Numbers that when divided by the sum of their digits leave 9 as remainder.

Original entry on oeis.org

19, 57, 69, 93, 99, 109, 119, 129, 139, 149, 159, 165, 169, 179, 189, 199, 218, 237, 249, 256, 273, 275, 279, 294, 297, 309, 317, 339, 345, 369, 373, 381, 384, 387, 389, 416, 417, 429, 453, 457, 459, 474, 477, 485, 490, 495, 515, 519, 525, 527, 549, 561, 564
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 19 and 19 is 10*1 with remainder 9;
a(2) = 57 and 57 is 12*4 with remainder 9; etc.

Links

Crossrefs

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

Programs

  • Mathematica
    Select[Range[600],Mod[#,Total[IntegerDigits[#]]]==9&] (* Harvey P. Dale, Feb 02 2022 *)
  • PARI
    isok(n) = n%sumdigits(n) == 9; \\ Michel Marcus, Feb 06 2021

A341177 Numbers that when divided by the sum of their digits leave 10 as remainder.

Original entry on oeis.org

49, 65, 164, 166, 197, 248, 263, 283, 362, 374, 394, 461, 517, 538, 560, 626, 634, 656, 682, 694, 751, 752, 809, 826, 865, 868, 962, 970, 998, 1055, 1154, 1219, 1253, 1256, 1258, 1268, 1336, 1352, 1378, 1382, 1451, 1453, 1508, 1546, 1549, 1550, 1570, 1574, 1634, 1690
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 49 and 49 is 13*3 with remainder 10;
a(2) = 65 and 65 is 11*5 with remainder 10; etc.

Links

Crossrefs

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

Programs

  • Mathematica
    Select[Range[1700],Mod[#,Total[IntegerDigits[#]]]==10&] (* Harvey P. Dale, Jun 22 2021 *)

A341178 Numbers that when divided by the sum of their digits leave 11 as remainder.

Original entry on oeis.org

76, 95, 187, 193, 347, 368, 427, 473, 475, 544, 619, 661, 674, 676, 725, 763, 827, 847, 851, 907, 977, 980, 1129, 1189, 1195, 1229, 1246, 1286, 1339, 1355, 1363, 1439, 1480, 1481, 1483, 1592, 1598, 1607, 1627, 1714, 1733, 1745, 1771, 1831, 1873, 1915, 1991, 1999
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 76 and 76 is 13*5 with remainder 11;
a(2) = 95 and 95 is 14*6 with remainder 11; etc.

Links

Crossrefs

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

A341179 Numbers that when divided by the sum of their digits leave 12 as remainder.

Original entry on oeis.org

68, 87, 177, 194, 267, 268, 337, 357, 386, 446, 447, 454, 487, 492, 537, 539, 556, 571, 572, 579, 582, 627, 658, 672, 692, 717, 762, 768, 805, 807, 824, 829, 844, 845, 852, 894, 922, 942, 950, 957, 958, 992, 996, 1039, 1076, 1077, 1156, 1167, 1257, 1273, 1276
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 68 and 68 is 14*4 with remainder 12;
a(2) = 87 and 87 is 15*5 with remainder 12; etc.

Links

Crossrefs

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

Programs

  • Mathematica
    Select[Range[1500],Mod[#,Total[IntegerDigits[#]]]==12&] (* Harvey P. Dale, Jul 19 2023 *)

A341180 Numbers that when divided by the sum of their digits leave 13 as remainder.

Original entry on oeis.org

98, 167, 293, 298, 349, 419, 469, 493, 545, 557, 637, 671, 781, 863, 887, 893, 923, 925, 982, 988, 1049, 1069, 1169, 1175, 1357, 1399, 1427, 1475, 1495, 1553, 1597, 1628, 1645, 1666, 1781, 1793, 1795, 1805, 1837, 1888, 1931, 1933, 1934, 1973, 1993, 2057, 2077, 2087
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 98 and 98 is 17*5 with remainder 13;
a(2) = 167 and 167 is 14*11 with remainder 13; etc.

Links

Crossrefs

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

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

Original entry on oeis.org

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

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

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

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 *)

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

Original entry on oeis.org

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

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

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

Links

Crossrefs

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

A341187 Numbers that when divided by the sum of their digits leave 17 as remainder.

Original entry on oeis.org

397, 497, 568, 589, 677, 739, 787, 857, 985, 1397, 1577, 1579, 1594, 1757, 1765, 1777, 1889, 1936, 1937, 1949, 1975, 2278, 2297, 2449, 2477, 2569, 2657, 2767, 2777, 2791, 2837, 2962, 2965, 2984, 3197, 3377, 3398, 3475, 3557, 3559, 3646, 3737, 3757, 3817
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 397 and 397 is 19*20 with remainder 17;
a(2) = 497 and 497 is 20*24 with remainder 17; etc.

Links

Crossrefs

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

A341188 Numbers that when divided by the sum of their digits leave 18 as remainder.

Original entry on oeis.org

379, 398, 578, 669, 758, 795, 858, 869, 892, 938, 978, 984, 1298, 1299, 1478, 1488, 1576, 1658, 1677, 1697, 1698, 1747, 1838, 1866, 1918, 1929, 1986, 1989, 1992, 2089, 2198, 2378, 2496, 2558, 2559, 2685, 2738, 2748, 2773, 2778, 2799, 2874, 2918, 2937
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 379 and 379 is 19*19 with remainder 18;
a(2) = 398 and 398 is 20*19 with remainder 18; etc.

Links

Crossrefs

Cf. A005349 (Niven numbers: remainder = 0), A209871 (Quasi-Niven numbers: remainder = 1), A341169 to A341182 (remainders = 2 to 15).
Previous Showing 11-20 of 23 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.