A067071 Numbers with no zeros such that the product of the digits of its cube is also a cube.

1, 2, 29, 61, 211, 224, 259, 331, 406, 456, 704, 758, 774, 819, 822, 906, 1578, 1708, 1768, 2246, 2313, 2332, 2474, 3409, 3982, 4006, 4046, 4331, 4347, 4348, 4367, 4376, 4608, 4832, 4865, 4921, 5226, 5332, 5477, 5554, 5692, 5774, 5971, 6357, 6408, 6449

Offset

1,2

References

Felice Russo, A set of new Smarandache Functions, Sequences and conjectures in number theory, American Research Press, Lupton USA.

Links

Table of n, a(n) for n=1..46.

Example

224 belongs to this sequence as 224^3 = 11239424 and the product of the digits = 1728 = 12^3.

Mathematica

Do[a = Apply[Times, IntegerDigits[n^3]]; If[ a != 0 && IntegerQ[a^(1/3)], Print[n]], {n, 1, 10^4} ]

Crossrefs

Sequence in context: A107161 A372932 A041097 * A031918 A358028 A101231

Adjacent sequences: A067068 A067069 A067070 * A067072 A067073 A067074

Keyword

nonn,base

Author

Amarnath Murthy, Jan 05 2002

Extensions

More terms from Robert G. Wilson v, Jan 15 2002

Offset changed by Andrew Howroyd, Sep 17 2024

Status

approved