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A375343
Numbers which are the sixth powers of their digit sum.
0
0, 1, 34012224, 8303765625, 24794911296, 68719476736
OFFSET
1,3
COMMENTS
Solutions can have no more than 13 digits, since (13*9)^6 < 10^13.
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, ", ")); )
KEYWORD
nonn,base,fini,full
AUTHOR
René-Louis Clerc, Aug 12 2024
STATUS
approved