# Infinitary superperfect numbers

## TL;DR

This paper proves that 9 is the only odd number with the property of being infinitary superperfect, contributing to the understanding of special classes of perfect numbers.

## Contribution

It establishes the uniqueness of 9 as the only odd infinitary superperfect number, a new result in number theory.

## Key findings

- 9 is the only odd infinitary superperfect number
- No other odd numbers possess this property
- Advances the classification of superperfect numbers

## Abstract

We shall show that $9$ is the only odd infinitary superperfect numbers.