A159462 -id:A159462 - cp's OEIS frontend

A107679 Numbers n such that sum of digits of n^3 is 2^3 = 8.

2, 5, 8, 11, 20, 50, 80, 101, 110, 200, 500, 800, 1001, 1010, 1100, 2000, 5000, 8000, 10001, 10010, 10100, 11000, 20000, 50000, 80000, 100001, 100010, 100100, 101000, 110000, 200000, 500000, 800000, 1000001, 1000010, 1000100, 1001000, 1010000, 1100000

Offset: 1

Zak Seidov, Jun 10 2005

Vincenzo Librandi, Table of n, a(n) for n = 1..50

Cf. A004164 (sum of digits of cubes), A067075, A159462, A159463.

[ n: n in [1..2*10^6] | 8 eq (&+Intseq(n^3)) ]; // Vincenzo Librandi, Aug 13 2017

Do[If[Total[IntegerDigits[m^3]]==8, Print[m]], {m, 2*10^7}] (* Vincenzo Librandi, Aug 13 2017 *)

isok(n) = sumdigits(n^3) == 8; \\ Michel Marcus, Aug 12 2017

More terms from Michel Marcus, Oct 09 2013

A159463 Numbers n with property that sod(n^3) = 6^3.

Original entry on oeis.org

3848163483, 4462569999, 4479677412, 4586158119, 4594661259, 4594665192, 4594700889, 4625720379, 4641588459, 5644008999, 5828410842, 5833034823, 5838252576, 5848025709, 6453471192, 6617331999, 6619097067, 6686657169, 7107126942, 7230291999, 7277907183

Offset: 1

Zak Seidov, Apr 12 2009

Numbers n with property that A007953(n^3) = 6^3.

			3848163483^3 = 56984998629886989599887999587, 5+6+9+8+4+9+9+8+6+2+9+8+8+6+9+8+9+5+9+9+8+8+7+9+9+9+5+8+7 = 216 = 6^3.

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Cf. A054966 Numbers that are congruent to {0, 1, 8} mod 9. A054966 Possible sums of digits of cubes. A067075 a(n) = smallest number m such that the sum of the digits of m^3 is equal to n^3. A007953 Digital sum (i.e., sum of digits) of n.

Numbers n such that sum of digits of n^3 is k^3: A107679 (k=2), A290842 (k=3), A290843 (k=4), A159462 (k=5), this sequence (k=6).

a(16)-a(21) from Seiichi Manyama, Aug 12 2017

A290843 Numbers k such that the sum of digits of k^3 is 4^3 = 64.

Original entry on oeis.org

1192, 1366, 1426, 1435, 1753, 1786, 1813, 1816, 1912, 1942, 1999, 2116, 2389, 2395, 2398, 2413, 2566, 2599, 2632, 2635, 2653, 2692, 2713, 2872, 2899, 2992, 3022, 3031, 3103, 3199, 3289, 3295, 3298, 3301, 3355, 3361, 3382, 3394, 3409, 3415, 3442, 3466, 3475

Offset: 1

Seiichi Manyama, Aug 12 2017

			1192^3 = 1693669888, 1 + 6 + 9 + 3 + 6 + 6 + 9 + 8 + 8 + 8 = 64 = 4^3.
11*(10^(n+2) + 1) is a term for all n > 0. - _Altug Alkan_, Aug 12 2017

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Numbers k such that sum of digits of k^3 is m^3: A107679 (m=2), A290842 (m=3), this sequence (m=4), A159462 (m=5), A159463 (m=6).

Cf. A067075.

Select[Range[3500],Total[IntegerDigits[#^3]]==64&] (* Harvey P. Dale, Aug 04 2019 *)

isok(n) = sumdigits(n^3) == 64; \\ Altug Alkan, Aug 12 2017

A290842 Numbers k such that the sum of digits of k^3 is 3^3 = 27.

Original entry on oeis.org

27, 33, 36, 39, 42, 54, 57, 69, 72, 75, 78, 84, 87, 93, 105, 108, 111, 114, 135, 138, 147, 162, 165, 168, 174, 177, 219, 222, 225, 228, 231, 234, 258, 267, 270, 273, 276, 285, 291, 294, 312, 318, 321, 330, 342, 345, 348, 351, 360, 369, 381, 384, 390, 405, 417

Offset: 1

Seiichi Manyama, Aug 12 2017

It is obvious that if k is in this sequence, then so is 10*k. Additionally, this sequence contains other infinite subsequences. For example, 10^(2*k) + 10^k + 1 is in this sequence for all k > 0. - Altug Alkan, Aug 12 2017

			27^3 = 19683, 1 + 9 + 6 + 8 + 3 = 27 = 3^3.

Seiichi Manyama, Table of n, a(n) for n = 1..500

Numbers k such that sum of digits of k^3 is m^3: A107679 (m=2), this sequence (m=3), A290843 (m=4), A159462 (m=5), A159463 (m=6).

Cf. A067075.

isok(n) = sumdigits(n^3) == 27; \\ Altug Alkan, Aug 12 2017

cp's OEIS Frontend

A107679 Numbers n such that sum of digits of n^3 is 2^3 = 8.

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A159463 Numbers n with property that sod(n^3) = 6^3.

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A290843 Numbers k such that the sum of digits of k^3 is 4^3 = 64.

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A290842 Numbers k such that the sum of digits of k^3 is 3^3 = 27.

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PARI