1! = 1 (one factorial)
2! = 2x1 = 2 (two factorial)
3! = 3x2x1 = 6
4! = 4x3x2x1 = 24
5! = 5x4x3x2x1 = 120
Liouville's number is a decimal that is all 0s except for the decimal places that correspond to a factorial, where thee is a 1 instead. So there is a 1 in the 1st, 2nd, 6th, 24th, 120th, 720th. etc place.
Since the decimal never forms a repeating pattern, it is not rational, meaning it can not be written as a fraction with a whole number over a whole number. It is also transcendental, meaning it can not be the solution to an algebraic equation.
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