It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 463 is not a prime number.
For example, 38 463 can be divided by 3: 38 463 / 3 = 12 821.
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For 38 463 to be a prime number, it would have been required that 38 463 has only two divisors, i.e., itself and 1.
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38 463 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 38 463 is about 196.120.
Thus, the square root of 38 463 is not an integer, and therefore 38 463 is not a square number.
The square of a number (here 38 463) is the result of the product of this number (38 463) by itself (i.e., 38 463 × 38 463); the square of 38 463 is sometimes called "raising 38 463 to the power 2", or "38 463 squared".
The square of 38 463 is 1 479 402 369 because 38 463 × 38 463 = 38 4632 = 1 479 402 369.
As a consequence, 38 463 is the square root of 1 479 402 369.
The multiples of 38 463 are all integers evenly divisible by 38 463, that is all numbers such that the remainder of the division by 38 463 is zero. There are infinitely many multiples of 38 463. The smallest multiples of 38 463 are: