No, every WHOLE number you can possible think of is an integer.
For example: -2,253 and 2,253 are integers, but something like 1.5 or 1 1/2 are not integers because they are fractions/decimals and not whole numbers.
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Is -34a integer
-34 is an integer, not a fraction.
34.1 rounded to the nearest integer is 34
They are both divisible by 2 but share no other integer factors
0034 is an integer. You could express it as a fraction in the form 34/1.