A124069 Fixed points for operation of repeatedly replacing a number with the sum of the eighth power of its digits.

0, 1, 24678050, 24678051, 88593477

Offset: 1

Author

Sébastien Dumortier, Nov 05 2006

Keywords

• base
• fini
• full
• nonn

Comments

This is row n=8 of A252648. For a d-digit number n >= 10^(d-1), the sum of 8th powers of its digits is <= 9^8*d, therefore n <= 413979400. - M. F. Hasler, Apr 12 2015

Examples

			24678050 = 2^8 + 4^8 + 6^8 + 7^8 + 8^8 + 0^8 + 5^8 + 0^8.
		

Crossrefs

Cf. A046197, A052455, A052464, A124068, A226970, A003321, A210840, A252648.

Programs

PARI

isok(n) = my(d = digits(n)); sum(k=1, #d, d[k]^8) == n; \\ Michel Marcus, Feb 21 2015

PARI

for(n=0,413979400,A210840(n)==n&&print1(n",")) \\ M. F. Hasler, Apr 12 2015

Formula

a(n) = A210840(a(n)). - M. F. Hasler, Apr 12 2015