It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 9 007 629 is not a prime number.
For example, 9 007 629 can be divided by 3: 9 007 629 / 3 = 3 002 543.
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For 9 007 629 to be a prime number, it would have been required that 9 007 629 has only two divisors, i.e., itself and 1.
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9 007 629 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 9 007 629 is about 3 001.271.
Thus, the square root of 9 007 629 is not an integer, and therefore 9 007 629 is not a square number.
The square of a number (here 9 007 629) is the result of the product of this number (9 007 629) by itself (i.e., 9 007 629 × 9 007 629); the square of 9 007 629 is sometimes called "raising 9 007 629 to the power 2", or "9 007 629 squared".
The square of 9 007 629 is 81 137 380 201 641 because 9 007 629 × 9 007 629 = 9 007 6292 = 81 137 380 201 641.
As a consequence, 9 007 629 is the square root of 81 137 380 201 641.
The multiples of 9 007 629 are all integers evenly divisible by 9 007 629, that is all numbers such that the remainder of the division by 9 007 629 is zero. There are infinitely many multiples of 9 007 629. The smallest multiples of 9 007 629 are: