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

1,3

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

Links

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

Example

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.

Prog

(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

Crossrefs

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

Sequence in context: A224642 A185855 A335399 * A212470 A180345 A160688

Adjacent sequences: A226967 A226968 A226969 * A226971 A226972 A226973

Keyword

nonn,base,fini,full

Author

Michel Lagneau, Jun 24 2013

Status

approved