An integer that is not rational?

Answer 1

The are an infinite number of rational numbers that are not integers,

because a rational number is a number that is written as a ratio of two integers.

For examble, 1/2 (i.e. a half) is a non-integer rational number.

This form is generally called a fraction.

Answer 2

There are no irrational integers - all integers can be represented as fractions with a denominator of 1.

Answer 3

Doesn't exist.