Product Notation Calculator
Calculate the product Π of integers from a to b. Also known as the product notation or capital pi notation.
How to Use the Product Notation Calculator
- Enter the starting integer a.
- Enter the ending integer b (b ≥ a).
- Click Calculate to see the product and its logarithm.
Quick Reference
| From | To |
|---|---|
| Π(1…5) | 120 (5!) |
| Π(1…10) | 3,628,800 |
| Π(3…7) | 2,520 |
| Π(1…20) | 2.43 × 10¹⁸ |
| Π(1…170) | ≈ 7.26 × 10³⁰⁶ |
Use Cases
- •Computing factorials and partial factorials.
- •Calculating permutations and combinations.
- •Evaluating product expressions in probability theory.
Formula
Π(i=a to b) i = a × (a+1) × … × b. When a=1, this equals b! (factorial). Log₁₀(Π) for large products.
Frequently Asked Questions
What is product notation?
Π notation represents the product of a sequence of terms, analogous to Σ for summation.
How is this related to factorial?
When a=1, Π(1 to b) = b!. For general ranges, Π(a to b) = b!/((a-1)!).
What is the maximum range?
Up to 170 terms, since larger products exceed JavaScript's floating-point range.