Number Theory
Divisor Function - Number Theory
Learn the divisor function with examples, step-by-step guide, and calculator tools. Sum of divisors of n
The divisor function is a fundamental concept in number theory. Sum of divisors of n. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\sigma(n) = \sum_{d|n} d\]
Variables
σ(n)
Sum of divisors
d
Divisors of n
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → σ(12) = 1 + 2 + 3 + 4 + 6 + 12 = 28
Example 2
Example 2: 28
Frequently Asked Questions
What is the divisor function?
Sum of divisors of n
How do I calculate divisor function?
Use the formula: \sigma(n) = \sum_{d|n} d. Follow the steps provided above.
What tools can help with divisor function?
We provide online calculators: calculator