It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 509 434 is not a prime number.
For example, 7 509 434 can be divided by 2: 7 509 434 / 2 = 3 754 717.
For 7 509 434 to be a prime number, it would have been required that 7 509 434 has only two divisors, i.e., itself and 1.
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7 509 434 is an even number, because it is evenly divisible by 2: 7 509 434 / 2 = 3 754 717.
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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 7 509 434 is about 2 740.335.
Thus, the square root of 7 509 434 is not an integer, and therefore 7 509 434 is not a square number.
The square of a number (here 7 509 434) is the result of the product of this number (7 509 434) by itself (i.e., 7 509 434 × 7 509 434); the square of 7 509 434 is sometimes called "raising 7 509 434 to the power 2", or "7 509 434 squared".
The square of 7 509 434 is 56 391 599 000 356 because 7 509 434 × 7 509 434 = 7 509 4342 = 56 391 599 000 356.
As a consequence, 7 509 434 is the square root of 56 391 599 000 356.
The multiples of 7 509 434 are all integers evenly divisible by 7 509 434, that is all numbers such that the remainder of the division by 7 509 434 is zero. There are infinitely many multiples of 7 509 434. The smallest multiples of 7 509 434 are: