It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 427 is not a prime number.
For example, 38 427 can be divided by 3: 38 427 / 3 = 12 809.
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For 38 427 to be a prime number, it would have been required that 38 427 has only two divisors, i.e., itself and 1.
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38 427 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 38 427 is about 196.028.
Thus, the square root of 38 427 is not an integer, and therefore 38 427 is not a square number.
The square of a number (here 38 427) is the result of the product of this number (38 427) by itself (i.e., 38 427 × 38 427); the square of 38 427 is sometimes called "raising 38 427 to the power 2", or "38 427 squared".
The square of 38 427 is 1 476 634 329 because 38 427 × 38 427 = 38 4272 = 1 476 634 329.
As a consequence, 38 427 is the square root of 1 476 634 329.
The multiples of 38 427 are all integers evenly divisible by 38 427, that is all numbers such that the remainder of the division by 38 427 is zero. There are infinitely many multiples of 38 427. The smallest multiples of 38 427 are: