Yes.
An integer has no fractions and if you can write it, it's a real number!
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It is a real rational negative integer number whose value is -3
It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.
Any integer is a real, ...-3,-2,-1,0,1,2,3,4... etc, as they have no imaginary component.
It is not a natural number but it is an integer and a real number.
All integers are real numbers.