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A072896 5th order digital invariants: the sum of the 5th powers of the digits of n equals some number k and the sum of the 5th powers of the digits of k equals n. 0
1, 4150, 4151, 54748, 58618, 76438, 89883, 92727, 93084, 157596, 194979 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Revised Edition, London, England, 1997, pgs. 157&168.

LINKS

Table of n, a(n) for n=1..11.

EXAMPLE

58618 is included because 5^5 + 8^5 + 6^5 + 1^5 + 8^5 = 76438 and 7^5 + 6^5 + 4^5 + 3^5 + 8^5 = 58618.

MATHEMATICA

f[n_] := Apply[Plus, IntegerDigits[Apply[Plus, IntegerDigits[n]^5]]^5]; Select[ Range[10^7], f[ # ] == # &]

di5Q[n_]:=Module[{k=Total[IntegerDigits[n]^5]}, Total[ IntegerDigits[k]^5] == n]; Select[Range[200000], di5Q] (* Harvey P. Dale, Nov 26 2014 *)

CROSSREFS

Cf. A072409.

Sequence in context: A254230 A106537 A256080 * A052464 A161752 A145205

Adjacent sequences:  A072893 A072894 A072895 * A072897 A072898 A072899

KEYWORD

nonn,fini,full,base

AUTHOR

Robert G. Wilson v, Aug 09 2002

STATUS

approved

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Last modified April 23 18:45 EDT 2017. Contains 285329 sequences.