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Factorials & factorions (Posted on 2015-10-19) Difficulty: 3 of 5
A factorion is a number that equals the sum of the factorials of its decimal digits, e.g. 145 is a factorion because 1! + 4! + 5! = 1 + 24 + 120 = 145.

There are exactly four (in base 10) such numbers;
1, 2, 145, and the last one is for you to find.

Bonus task: Determine all numbers such that the sum of factorials of their digits - expressed in any imaginable base- is exactly the same regardless of the base chosen.

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionThe last factorionMath Man2015-10-21 09:59:07
Solutioncomputer solutionCharlie2015-10-19 14:42:49
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