Sum of Divisors
Verified Calculation Engine
The online Sum of Divisors helps you calculate instantly and solve problems related to Number Theory. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Math Numbers calculations.
Sum of Divisors.
σ(n)=∏(p^(a+1)−1)/(p−1)
σ(n)=∏(p^(a+1)−1)/(p−1)
Inputs
Results
Worked Examples
Validated worked example
Independent regression example
- n: 36
- result: 91
- divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36
About this calculator
Overview
Sum of Divisors evaluates Sum of Divisors for the math / number-theory library. Primary input cue: Integer n [required]. Method anchor: σ(n)=∏(p^(a+1)−1)/(p−1).
When to use
Use Sum of Divisors when you already know the inputs and need sum of divisors without setting up a spreadsheet.
Inputs explained
- Integer n [required]
Formula / method
σ(n)=∏(p^(a+1)−1)/(p−1) (calculator id: divisor-sum-calculator).
Worked example
Worked values: n = 36 → result = 91, divisors = [1, 2, 3, 4, 6, 9, 12, 18, 36]
Interpreting results
Read the primary output as sum of divisors under the method on this page.
Assumptions
- Inputs for `divisor-sum-calculator` follow the on-page labels; values/shapes must match this operation.
- Units (when shown) must be consistent across inputs for sum of divisors.
- Real-number arithmetic is used unless sum of divisors explicitly needs integers.
Limitations
- Sum of Divisors cannot invent missing inputs; incomplete forms stop short of a forged sum of divisors value.
- Display rounding can differ slightly from a CAS/symbolic exact form of sum of divisors.
- Complex/branch cuts and undefined points are not always interactively annotated for sum of divisors.
Important note
Educational mathematics tool. Check edge cases and domain restrictions when results look unexpected.
How to Use This Calculator
- Enter the required values in the input fields.
- Click the Calculate button.
- View the computed result instantly.
Formula Used
σ(n)=∏(p^(a+1)−1)/(p−1) (calculator id: divisor-sum-calculator).
Example Calculation
Worked values: n = 36 → result = 91, divisors = [1, 2, 3, 4, 6, 9, 12, 18, 36]
Frequently Asked Questions
What is Sum of Divisors?
- Sum of Divisors evaluates Sum of Divisors for the math / number-theory library. Primary input cue: Integer n [required]. Method anchor: σ(n)=∏(p^(a+1)−1)/(p−1).
How does Sum of Divisors work?
- σ(n)=∏(p^(a+1)−1)/(p−1) (calculator id: divisor-sum-calculator).
Why use this Math Numbers calculator?
- Use Sum of Divisors when you already know the inputs and need sum of divisors without setting up a spreadsheet.