It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 742 013 is not a prime number.
For example, 4 742 013 can be divided by 3: 4 742 013 / 3 = 1 580 671.
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For 4 742 013 to be a prime number, it would have been required that 4 742 013 has only two divisors, i.e., itself and 1.
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4 742 013 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 4 742 013 is about 2 177.616.
Thus, the square root of 4 742 013 is not an integer, and therefore 4 742 013 is not a square number.
The square of a number (here 4 742 013) is the result of the product of this number (4 742 013) by itself (i.e., 4 742 013 × 4 742 013); the square of 4 742 013 is sometimes called "raising 4 742 013 to the power 2", or "4 742 013 squared".
The square of 4 742 013 is 22 486 687 292 169 because 4 742 013 × 4 742 013 = 4 742 0132 = 22 486 687 292 169.
As a consequence, 4 742 013 is the square root of 22 486 687 292 169.
The multiples of 4 742 013 are all integers evenly divisible by 4 742 013, that is all numbers such that the remainder of the division by 4 742 013 is zero. There are infinitely many multiples of 4 742 013. The smallest multiples of 4 742 013 are: