# Number - Integer - $\mathbb{Z}$

An integer is the part of a number that is located at the left of the radix point.

In other word, it's a number without its fractional component.

Negative numbers without fractional components are still considered integers.

God made the integers; all else is the work of man

In a database, Integer means generally that the column shall be able to exactly represent integer values (i.e., values in increments of 1) in the range of at least $-2^{n − 1}$ to $2^{n − 1} − 1$, where n is 64.

## 3 - Example

13.625

In this example, 13 is the integer.

## 4 - Property

Since the non-zero denominator q of the rational number may be equal to 1, every integer is a rational number.

## 5 - Function

Special Integer division:

## 6 - Size

Integer max size is on some computer define by the size of a word.

This limitation may cause programs to crash. For example, if a programmer using the C language incorrectly declares as int a variable that will be used to store values greater than [itex]2^{15}−1[itex], the program will fail on computers with 16-bit integers. That variable should have been declared as long, which has at least 32 bits on any computer.