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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, pp. 157, 168. LINKS 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: A106537 A256080 A287514 * 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 December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)