A218292 -id:A218292 - cp's OEIS frontend

A218290 Multiples of 5 such that the sum of their digits is also a multiple of 5.

5, 50, 55, 140, 145, 190, 195, 230, 235, 280, 285, 320, 325, 370, 375, 410, 415, 460, 465, 500, 505, 550, 555, 640, 645, 690, 695, 730, 735, 780, 785, 820, 825, 870, 875, 910, 915, 960, 965, 1040, 1045, 1090, 1095, 1130, 1135, 1180, 1185, 1220, 1225, 1270

Offset: 1

Bruno Berselli, Oct 25 2012

			145 is a multiple of 5, and its digits, 1, 4, 5, add up to 10, which is also a multiple of 5. [_Alonso del Arte_, Oct 27 2012]

Bruno Berselli, Table of n, a(n) for n = 1..1000

Cf. multiples of k with digit sum divisible by k: A008585 (k = 3), A008591 (k = 9), A062753 (k = 4), A179082 (k = 2), A216994 (k = 7), A216995 (k = 11), A216997 (k = 8), A218291 (k = 6), A218292 (k = 10).

[n: n in [5..1300 by 5] | IsZero(&+Intseq(n) mod 5)];

Select[ Range[5, 1300, 5], Mod[ Total[ IntegerDigits[#]], 5] == 0 &] (* Jean-François Alcover, Oct 26 2012 *)

A218291 Multiples of 6 such that the sum of their digits is also a multiple of 6.

Original entry on oeis.org

6, 24, 42, 48, 60, 66, 84, 114, 132, 138, 150, 156, 174, 192, 198, 204, 222, 228, 240, 246, 264, 282, 288, 312, 318, 330, 336, 354, 372, 378, 390, 396, 402, 408, 420, 426, 444, 462, 468, 480, 486, 510, 516, 534, 552, 558, 570, 576, 594, 600, 606, 624, 642, 648

Offset: 1

Bruno Berselli, Oct 25 2012

			48 is a multiple of 6, and 4+8=12 is also a multiple of 6.

Bruno Berselli, Table of n, a(n) for n = 1..1000

Subsequence of A179082.

Cf. multiples of k with digit sum divisible by k: A008585 (k=3), A008591 (k=9), A062753 (k=4), A179082 (k=2), A216994 (k=7), A216995 (k=11), A216997 (k=8), A218290 (k=5), A218292 (k=10).

[n: n in [6..700 by 6] | IsZero(&+Intseq(n) mod 6)];

Select[ Range[6, 700, 6], Mod[ Total[ IntegerDigits[#]], 6] == 0 &] (* Jean-François Alcover, Oct 26 2012 *)

A333834 Multiples of 10 whose sum of digits is 10.

Original entry on oeis.org

190, 280, 370, 460, 550, 640, 730, 820, 910, 1090, 1180, 1270, 1360, 1450, 1540, 1630, 1720, 1810, 1900, 2080, 2170, 2260, 2350, 2440, 2530, 2620, 2710, 2800, 3070, 3160, 3250, 3340, 3430, 3520, 3610, 3700, 4060, 4150, 4240, 4330, 4420, 4510

Offset: 1

Bernard Schott, Apr 07 2020

If m is a term, 10*m is also a term.

Intersection of A052224 (sum of digits = 10) and A008592 (multiples of 10).

			2440 = 10 * 244 and 2 + 4 + 4 + 0 = 10, hence 2440 is a term.

Multiples of k whose sum of digits = k: A011557 (k=1), A069537 (k=2), A052217 (k=3), A063997 (k=4), A069540 (k=5), A062768 (k=6), A063416 (k=7), A069543 (k=8), A052223 (k=9), this sequence (k=10), A283742 (k=11), A333814 (k=12), A283737 (k=13).
Subsequence of A218292.
Cf. A008592 (multiples of 10), A052224 (sum of digits = 10).
Cf. A057147 (a(n) = n times sum of digits of n)

Select[10 * Range[500], Plus @@ IntegerDigits[#] == 10 &] (* Amiram Eldar, Apr 07 2020 *)

a(n) = 10*A052224(n). - Charles R Greathouse IV, Apr 07 2020

cp's OEIS Frontend

A218290 Multiples of 5 such that the sum of their digits is also a multiple of 5.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Magma

Mathematica

A218291 Multiples of 6 such that the sum of their digits is also a multiple of 6.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Magma

Mathematica

A333834 Multiples of 10 whose sum of digits is 10.

Views

Author

Keywords

Comments

Examples

Crossrefs

Programs

Mathematica

Formula