

A226970


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


7




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 ddigit number n >= 10^(d1), 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: A224638 A224642 A185855 * A212470 A180345 A160688
Adjacent sequences: A226967 A226968 A226969 * A226971 A226972 A226973


KEYWORD

nonn,base,fini,full


AUTHOR

Michel Lagneau, Jun 24 2013


STATUS

approved



