A375343 Numbers which are the sixth powers of their digit sum.

0, 1, 34012224, 8303765625, 24794911296, 68719476736

Offset

1,3

Comments

Solutions can have no more than 13 digits, since (13*9)^6 < 10^13.

Links

Table of n, a(n) for n=1..6.

René-Louis Clerc, Quelques nombres de Niven-Harshad particuliers, 2023.

Formula

{ k : k = A007953(k)^6}.

a(n) = A055577(n)^6. - Alois P. Heinz, Aug 24 2024

Example

68719476736 = (6+8+7+1+9+4+7+6+7+3+6)^6 = 64^6.

Prog

(PARI) for (k=0, sqrtnint(10^13, 6), if (k^6 == sumdigits(k^6)^6, print1(k^6, ", ")); )

Crossrefs

Cf. A001014, A007953, A061209, A061210, A254000, A061211.

Cf. A055577, A152147.

Sequence in context: A232636 A345121 A345122 * A363295 A172687 A332388

Adjacent sequences: A375340 A375341 A375342 * A375344 A375345 A375346

Keyword

nonn,base,fini,full

Author

René-Louis Clerc, Aug 12 2024

Status

approved