It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 004 is not a prime number.
For example, 4 004 can be divided by 2: 4 004 / 2 = 2 002.
For 4 004 to be a prime number, it would have been required that 4 004 has only two divisors, i.e., itself and 1.
Find out more:
4 004 is an even number, because it is evenly divisible by 2: 4 004 / 2 = 2 002.
Find out more:
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 4 004 is about 63.277.
Thus, the square root of 4 004 is not an integer, and therefore 4 004 is not a square number.
The square of a number (here 4 004) is the result of the product of this number (4 004) by itself (i.e., 4 004 × 4 004); the square of 4 004 is sometimes called "raising 4 004 to the power 2", or "4 004 squared".
The square of 4 004 is 16 032 016 because 4 004 × 4 004 = 4 0042 = 16 032 016.
As a consequence, 4 004 is the square root of 16 032 016.
The multiples of 4 004 are all integers evenly divisible by 4 004, that is all numbers such that the remainder of the division by 4 004 is zero. There are infinitely many multiples of 4 004. The smallest multiples of 4 004 are: