It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 006 003 is not a prime number.
For example, 4 006 003 can be divided by 97: 4 006 003 / 97 = 41 299.
For 4 006 003 to be a prime number, it would have been required that 4 006 003 has only two divisors, i.e., itself and 1.
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4 006 003 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 4 006 003 is about 2 001.500.
Thus, the square root of 4 006 003 is not an integer, and therefore 4 006 003 is not a square number.
The square of a number (here 4 006 003) is the result of the product of this number (4 006 003) by itself (i.e., 4 006 003 × 4 006 003); the square of 4 006 003 is sometimes called "raising 4 006 003 to the power 2", or "4 006 003 squared".
The square of 4 006 003 is 16 048 060 036 009 because 4 006 003 × 4 006 003 = 4 006 0032 = 16 048 060 036 009.
As a consequence, 4 006 003 is the square root of 16 048 060 036 009.
The multiples of 4 006 003 are all integers evenly divisible by 4 006 003, that is all numbers such that the remainder of the division by 4 006 003 is zero. There are infinitely many multiples of 4 006 003. The smallest multiples of 4 006 003 are: