It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 431 is not a prime number.
For example, 413 431 can be divided by 401: 413 431 / 401 = 1 031.
For 413 431 to be a prime number, it would have been required that 413 431 has only two divisors, i.e., itself and 1.
Find out more:
413 431 is an odd number, because it is not evenly divisible by 2.
Find out more:
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 413 431 is about 642.986.
Thus, the square root of 413 431 is not an integer, and therefore 413 431 is not a square number.
The square of a number (here 413 431) is the result of the product of this number (413 431) by itself (i.e., 413 431 × 413 431); the square of 413 431 is sometimes called "raising 413 431 to the power 2", or "413 431 squared".
The square of 413 431 is 170 925 191 761 because 413 431 × 413 431 = 413 4312 = 170 925 191 761.
As a consequence, 413 431 is the square root of 170 925 191 761.
The multiples of 413 431 are all integers evenly divisible by 413 431, that is all numbers such that the remainder of the division by 413 431 is zero. There are infinitely many multiples of 413 431. The smallest multiples of 413 431 are: