A055577 Numbers k such that the sum of digits of k^6 is equal to k.

0, 1, 18, 45, 54, 64

Offset: 1

Author

Henry Bottomley, May 26 2000

Keywords

• base
• fini
• full
• nonn

Examples

			a(2) = 18 because 18^6 = 34012224 and 3+4+0+1+2+2+2+4 = 18
		

Crossrefs

Cf. A055567, A055572, A046459, A055575, A055576, A226971.

Cf. A152147.

Programs

Magma

[n: n in [0..100] | &+Intseq(n^6) eq n ]; // Vincenzo Librandi, Feb 23 2015

Mathematica

Select[Range[0,100],#==Total[IntegerDigits[#^6]]&] (* Harvey P. Dale, Oct 26 2011 *)

PARI

isok(k)=sumdigits(k^6)==k \\ Patrick De Geest, Dec 13 2024

Sage

[n for n in (0..70) if sum((n^6).digits()) == n] # Bruno Berselli, Feb 23 2015