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Digit factorial chains

Problem 74: The number 145 is well known for the property that the sum of the factorial of its digits is equal to 145: 1! + 4! + 5! = 1 + 24 + 120 = 145 Perhaps less well

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Factorial digit sum

n! means n (n 1) … 3 X 2 X 1 For example, 10! = 10 X 9 … 3 X 2 X 1 = 3628800, and the sum of the digits in the number 10! is 3 + 6

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