It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 721 is not a prime number.
For example, 413 721 can be divided by 3: 413 721 / 3 = 137 907.
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For 413 721 to be a prime number, it would have been required that 413 721 has only two divisors, i.e., itself and 1.
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413 721 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 413 721 is about 643.211.
Thus, the square root of 413 721 is not an integer, and therefore 413 721 is not a square number.
The square of a number (here 413 721) is the result of the product of this number (413 721) by itself (i.e., 413 721 × 413 721); the square of 413 721 is sometimes called "raising 413 721 to the power 2", or "413 721 squared".
The square of 413 721 is 171 165 065 841 because 413 721 × 413 721 = 413 7212 = 171 165 065 841.
As a consequence, 413 721 is the square root of 171 165 065 841.
The multiples of 413 721 are all integers evenly divisible by 413 721, that is all numbers such that the remainder of the division by 413 721 is zero. There are infinitely many multiples of 413 721. The smallest multiples of 413 721 are: