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Date: 9-9-2019
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Date: 18-8-2018
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Date: 26-8-2019
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A factorion is an integer which is equal to the sum of factorials of its digits. There are exactly four such numbers:
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(1) |
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(2) |
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(3) |
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(4) |
(OEIS A014080; Gardner 1978, Madachy 1979, Pickover 1995). Obviously, the factorion of an -digit number cannot exceed
.
REFERENCES:
Gardner, M. "Factorial Oddities." Ch. 4 in Mathematical Magic Show: More Puzzles, Games, Diversions, Illusions and Other Mathematical Sleight-of-Mind from Scientific American. New York: Vintage, pp. 61 and 64, 1978.
Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, p. 167, 1979.
Pickover, C. A. "The Loneliness of the Factorions." Ch. 22 in Keys to Infinity. New York: W. H. Freeman, pp. 169-171 and 319-320, 1995.
Sloane, N. J. A. Sequence A014080 in "The On-Line Encyclopedia of Integer Sequences."
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