It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 998 is not a prime number.
For example, 3 998 can be divided by 2: 3 998 / 2 = 1 999.
For 3 998 to be a prime number, it would have been required that 3 998 has only two divisors, i.e., itself and 1.
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3 998 is an even number, because it is evenly divisible by 2: 3 998 / 2 = 1 999.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 3 998 is about 63.230.
Thus, the square root of 3 998 is not an integer, and therefore 3 998 is not a square number.
The square of a number (here 3 998) is the result of the product of this number (3 998) by itself (i.e., 3 998 × 3 998); the square of 3 998 is sometimes called "raising 3 998 to the power 2", or "3 998 squared".
The square of 3 998 is 15 984 004 because 3 998 × 3 998 = 3 9982 = 15 984 004.
As a consequence, 3 998 is the square root of 15 984 004.
The multiples of 3 998 are all integers evenly divisible by 3 998, that is all numbers such that the remainder of the division by 3 998 is zero. There are infinitely many multiples of 3 998. The smallest multiples of 3 998 are: