# So what is class number 2?

## TL;DR

This paper explores algebraic number rings with class number 2, providing multiple characterizations based on factorization properties to better understand their structure.

## Contribution

It introduces new characterizations of algebraic number rings with class number 2 using factorization properties, advancing theoretical understanding.

## Key findings

- Multiple characterizations for class number 2 rings
- Factorization properties linked to class number
- Enhanced theoretical framework for algebraic number rings

## Abstract

Using factorization properties, we give several characterizations for an algebraic number ring to have class number 2.