1

1 (one) is a positive integer following 0 and preceding 2. Its ordinal form is written "1st" or "first."

Properties
1 is the multiplicative identity, meaning that \(a = a \times 1\) for all \(a\). In fact, \(a \underbrace{\uparrow\uparrow\ldots\uparrow\uparrow}_n 1 = a\) (arrow notation) for all \(n \geq 1\) and \(a\), so 1 is a sort of identity for all the hyper operators beyond addition. 1 appears frequently as a "default" argument in googological notations, such as BEAF, chained arrow notation, and hyper-E notation.

1 is. It is the only positive integer which is neither prime nor composite.

1 is a, , , etc.

1 is the 1st Busy Beaver number.

In googology
Sbiis Saibian argued that all numbers larger than 1 are considered "large numbers", due that small numbers are s from large numbers.