It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 021 is not a prime number.
For example, 413 021 can be divided by 7: 413 021 / 7 = 59 003.
For 413 021 to be a prime number, it would have been required that 413 021 has only two divisors, i.e., itself and 1.
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413 021 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 413 021 is about 642.667.
Thus, the square root of 413 021 is not an integer, and therefore 413 021 is not a square number.
The square of a number (here 413 021) is the result of the product of this number (413 021) by itself (i.e., 413 021 × 413 021); the square of 413 021 is sometimes called "raising 413 021 to the power 2", or "413 021 squared".
The square of 413 021 is 170 586 346 441 because 413 021 × 413 021 = 413 0212 = 170 586 346 441.
As a consequence, 413 021 is the square root of 170 586 346 441.
The multiples of 413 021 are all integers evenly divisible by 413 021, that is all numbers such that the remainder of the division by 413 021 is zero. There are infinitely many multiples of 413 021. The smallest multiples of 413 021 are: