It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 997 is not a prime number.
For example, 3 997 can be divided by 7: 3 997 / 7 = 571.
For 3 997 to be a prime number, it would have been required that 3 997 has only two divisors, i.e., itself and 1.
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3 997 is an odd number, because it is not evenly divisible by 2.
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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 3 997 is about 63.222.
Thus, the square root of 3 997 is not an integer, and therefore 3 997 is not a square number.
The square of a number (here 3 997) is the result of the product of this number (3 997) by itself (i.e., 3 997 × 3 997); the square of 3 997 is sometimes called "raising 3 997 to the power 2", or "3 997 squared".
The square of 3 997 is 15 976 009 because 3 997 × 3 997 = 3 9972 = 15 976 009.
As a consequence, 3 997 is the square root of 15 976 009.
The multiples of 3 997 are all integers evenly divisible by 3 997, that is all numbers such that the remainder of the division by 3 997 is zero. There are infinitely many multiples of 3 997. The smallest multiples of 3 997 are: