It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 701 is not a prime number.
For example, 38 701 can be divided by 13: 38 701 / 13 = 2 977.
For 38 701 to be a prime number, it would have been required that 38 701 has only two divisors, i.e., itself and 1.
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38 701 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 38 701 is about 196.726.
Thus, the square root of 38 701 is not an integer, and therefore 38 701 is not a square number.
The square of a number (here 38 701) is the result of the product of this number (38 701) by itself (i.e., 38 701 × 38 701); the square of 38 701 is sometimes called "raising 38 701 to the power 2", or "38 701 squared".
The square of 38 701 is 1 497 767 401 because 38 701 × 38 701 = 38 7012 = 1 497 767 401.
As a consequence, 38 701 is the square root of 1 497 767 401.
The multiples of 38 701 are all integers evenly divisible by 38 701, that is all numbers such that the remainder of the division by 38 701 is zero. There are infinitely many multiples of 38 701. The smallest multiples of 38 701 are: