It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 463 is not a prime number.
For example, 138 463 can be divided by 13: 138 463 / 13 = 10 651.
For 138 463 to be a prime number, it would have been required that 138 463 has only two divisors, i.e., itself and 1.
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138 463 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 138 463 is about 372.106.
Thus, the square root of 138 463 is not an integer, and therefore 138 463 is not a square number.
The square of a number (here 138 463) is the result of the product of this number (138 463) by itself (i.e., 138 463 × 138 463); the square of 138 463 is sometimes called "raising 138 463 to the power 2", or "138 463 squared".
The square of 138 463 is 19 172 002 369 because 138 463 × 138 463 = 138 4632 = 19 172 002 369.
As a consequence, 138 463 is the square root of 19 172 002 369.
The multiples of 138 463 are all integers evenly divisible by 138 463, that is all numbers such that the remainder of the division by 138 463 is zero. There are infinitely many multiples of 138 463. The smallest multiples of 138 463 are: