It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 473 is not a prime number.
For example, 508 473 can be divided by 3: 508 473 / 3 = 169 491.
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For 508 473 to be a prime number, it would have been required that 508 473 has only two divisors, i.e., itself and 1.
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508 473 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 508 473 is about 713.073.
Thus, the square root of 508 473 is not an integer, and therefore 508 473 is not a square number.
The square of a number (here 508 473) is the result of the product of this number (508 473) by itself (i.e., 508 473 × 508 473); the square of 508 473 is sometimes called "raising 508 473 to the power 2", or "508 473 squared".
The square of 508 473 is 258 544 791 729 because 508 473 × 508 473 = 508 4732 = 258 544 791 729.
As a consequence, 508 473 is the square root of 258 544 791 729.
The multiples of 508 473 are all integers evenly divisible by 508 473, that is all numbers such that the remainder of the division by 508 473 is zero. There are infinitely many multiples of 508 473. The smallest multiples of 508 473 are: