A226970 Fixed points for the operation of repeatedly replacing a number with the sum of the ninth powers of its digits.

0, 1, 146511208, 472335975, 534494836, 912985153

Offset: 1

Author

Michel Lagneau, Jun 24 2013

Keywords

• nonn
• base
• fini
• full

Comments

The only six integers equal to the sum of the ninth powers of their digits.

This is row n=9 of A252648. For a d-digit number n >= 10^(d-1), the sum of 9th powers of its digits is <= 9^9*d, therefore n <= 4112105981. - M. F. Hasler, Apr 12 2015

Examples

			a(3) = A003321(9);
a(4) = 472335975 = 4^9 + 7^9 + 2^9 + 3^9 + 3^9 + 5^9 + 9^9 + 7^9 + 5^9.
		

Crossrefs

Cf. A046197, A052455, A052464, A124068, A124069, A003321.

Programs

PARI

is_A226970(n)=n==sum(i=1,#n=digits(n),n[i]^9)
for(n=0,4112105981,is_A226970(n)&&print1(n",")) \\ M. F. Hasler, Apr 12 2015