It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 000 313 is not a prime number.
For example, 4 000 313 can be divided by 113: 4 000 313 / 113 = 35 401.
For 4 000 313 to be a prime number, it would have been required that 4 000 313 has only two divisors, i.e., itself and 1.
Find out more:
4 000 313 is an odd number, because it is not evenly divisible by 2.
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 4 000 313 is about 2 000.078.
Thus, the square root of 4 000 313 is not an integer, and therefore 4 000 313 is not a square number.
The square of a number (here 4 000 313) is the result of the product of this number (4 000 313) by itself (i.e., 4 000 313 × 4 000 313); the square of 4 000 313 is sometimes called "raising 4 000 313 to the power 2", or "4 000 313 squared".
The square of 4 000 313 is 16 002 504 097 969 because 4 000 313 × 4 000 313 = 4 000 3132 = 16 002 504 097 969.
As a consequence, 4 000 313 is the square root of 16 002 504 097 969.
The multiples of 4 000 313 are all integers evenly divisible by 4 000 313, that is all numbers such that the remainder of the division by 4 000 313 is zero. There are infinitely many multiples of 4 000 313. The smallest multiples of 4 000 313 are: