Stirling's Approximation Calculator

n! ≈ √(2πn)(n/e)ⁿ

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About Stirling's Approximation Calculator

A Stirling's approximation calculator that estimates n! ≈ √(2πn)(n/e)ⁿ. Shows the approximation, exact value (when computable), relative error, and ln(n!) for large n. Includes the extended Stirling series for higher accuracy. All calculations are client-side. Essential for statistics, physics, information theory, and combinatorics.

Stirling's Approximation Calculator Features

  • n! approx
  • Error %
  • ln(n!)
  • Extended series
  • Exact compare
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