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.

Showing 1-10 of 19 results. Next

A341182 Numbers that when divided by the sum of their digits leave 15 as remainder.

Original entry on oeis.org

79, 287, 367, 498, 499, 593, 655, 687, 695, 697, 746, 775, 797, 875, 876, 879, 895, 899, 939, 943, 946, 1087, 1288, 1358, 1375, 1459, 1489, 1519, 1569, 1595, 1599, 1663, 1664, 1687, 1695, 1758, 1775, 1807, 1817, 1884, 1885, 1887, 1947, 1951, 1955, 1959, 1970, 1972
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 79 and 79 is 16*4 with remainder 15;
a(2) = 287 and 287 is 17*16 with remainder 15; 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[2000],Mod[#,Total[IntegerDigits[#]]]==15&] (* Harvey P. Dale, Sep 03 2021 *)

A341170 Numbers that when divided by the sum of their digits leave 3 as remainder.

Original entry on oeis.org

15, 23, 31, 33, 35, 39, 47, 51, 52, 59, 73, 75, 78, 94, 103, 105, 107, 113, 115, 123, 141, 146, 147, 163, 168, 183, 185, 203, 211, 213, 219, 231, 241, 245, 251, 253, 255, 258, 259, 291, 303, 304, 321, 323, 327, 328, 343, 344, 348, 363, 377, 393, 411, 430, 433, 435, 437, 438, 443, 445
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 15 and 15 is 6*2 with remainder 3;
a(2) = 23 and 23 is 5*4 with remainder 3; 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[500],Mod[#,Total[IntegerDigits[#]]]==3&] (* Harvey P. Dale, May 27 2021 *)

A341171 Numbers that when divided by the sum of their digits leave 4 as remainder.

Original entry on oeis.org

14, 25, 44, 64, 89, 92, 104, 116, 151, 154, 158, 191, 196, 214, 238, 244, 260, 284, 289, 290, 332, 334, 340, 355, 395, 403, 404, 424, 472, 484, 514, 536, 548, 598, 604, 620, 628, 662, 706, 772, 796, 823, 854, 878, 884, 914, 916, 940, 973, 979, 994, 1004, 1033, 1052, 1054, 1057
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 14 and 14 is 5*2 with remainder 4;
a(2) = 25 and 25 is 7*3 with remainder 4; etc.

Links

Crossrefs

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

A341172 Numbers that when divided by the sum of their digits leave 5 as remainder.

Original entry on oeis.org

38, 53, 55, 61, 124, 125, 137, 145, 148, 235, 236, 250, 257, 265, 277, 313, 325, 335, 341, 382, 383, 413, 415, 434, 502, 505, 509, 533, 565, 566, 616, 632, 635, 701, 709, 719, 731, 733, 761, 784, 785, 830, 850, 853, 872, 955, 965, 1006, 1028, 1045, 1061, 1084
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 38 and 38 is 11*3 with remainder 5;
a(2) = 53 and 53 is 8*6 with remainder 5; etc.

Links

Crossrefs

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

A341173 Numbers that when divided by the sum of their digits leave 6 as remainder.

Original entry on oeis.org

34, 46, 58, 62, 66, 83, 96, 134, 136, 138, 160, 174, 175, 182, 186, 206, 223, 226, 246, 276, 278, 281, 282, 292, 316, 318, 350, 354, 356, 358, 366, 380, 390, 406, 409, 412, 422, 426, 456, 462, 482, 489, 526, 534, 546, 570, 584, 591, 595, 601, 606, 608, 636, 642, 643, 646, 678, 681, 686, 688
Offset: 1

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

Examples

			a(1) = 34 and 34 is 7*4 with remainder 6;
a(2) = 46 and 46 is 10*4 with remainder 6; 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) == 6; \\ Michel Marcus, Feb 06 2021

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

Original entry on oeis.org

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

Views

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

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

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

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).
Showing 1-10 of 19 results. Next

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

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