It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 2 138 is not a prime number.
For example, 2 138 can be divided by 2: 2 138 / 2 = 1 069.
For 2 138 to be a prime number, it would have been required that 2 138 has only two divisors, i.e., itself and 1.
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2 138 is an even number, because it is evenly divisible by 2: 2 138 / 2 = 1 069.
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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 2 138 is about 46.239.
Thus, the square root of 2 138 is not an integer, and therefore 2 138 is not a square number.
The square of a number (here 2 138) is the result of the product of this number (2 138) by itself (i.e., 2 138 × 2 138); the square of 2 138 is sometimes called "raising 2 138 to the power 2", or "2 138 squared".
The square of 2 138 is 4 571 044 because 2 138 × 2 138 = 2 1382 = 4 571 044.
The multiples of 2 138 are all integers evenly divisible by 2 138, that is all numbers such that the remainder of the division by 2 138 is zero. There are infinitely many multiples of 2 138. The smallest multiples of 2 138 are: