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Search: id:A072896
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| A072896 |
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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. |
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+0
1
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| 1, 4150, 4151, 54748, 58618, 76438, 89883, 92727, 93084, 157596, 194979
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Revised Edition, London, England, 1997, pgs. 157&168.
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EXAMPLE
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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.
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MATHEMATICA
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f[n_] := Apply[Plus, IntegerDigits[Apply[Plus, IntegerDigits[n]^5]]^5]; Select[ Range[10^7], f[ # ] == # &]
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CROSSREFS
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Cf. A072409.
Sequence in context: A162003 A107541 A106537 this_sequence A052464 A161752 A145205
Adjacent sequences: A072893 A072894 A072895 this_sequence A072897 A072898 A072899
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KEYWORD
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nonn,fini,full,base
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 09 2002
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