Gamma Function Calculator - Compute Gamma(x) with Steps

Your details

Enter any real number. Gamma is undefined at 0 and negative integers (poles). Try 0.5 for sqrt(pi), or a positive integer n to get (n-1)!
Gamma(x)Positive value
24

The Gamma function evaluated at x

ln|Gamma(x)|3.1780538
1 / Gamma(x)0.041666667
Factorial equivalent(5 - 1)! = 4! = 24
Input typePositive integer - exact factorial

Gamma(5) = 24

  • For positive integers, Gamma(n) = (n - 1)!, so Gamma(5) = 4!
  • This is the key link between the Gamma function and ordinary factorials.
  • The natural log of |Gamma(5)| is 3.1780538, useful for avoiding overflow with large values.

Next stepTry x = 5.5 (a half-integer) to see Gamma at a non-integer point.

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