It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 742 727 is not a prime number.
For example, 742 727 can be divided by 719: 742 727 / 719 = 1 033.
For 742 727 to be a prime number, it would have been required that 742 727 has only two divisors, i.e., itself and 1.
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742 727 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 742 727 is about 861.816.
Thus, the square root of 742 727 is not an integer, and therefore 742 727 is not a square number.
The square of a number (here 742 727) is the result of the product of this number (742 727) by itself (i.e., 742 727 × 742 727); the square of 742 727 is sometimes called "raising 742 727 to the power 2", or "742 727 squared".
The square of 742 727 is 551 643 396 529 because 742 727 × 742 727 = 742 7272 = 551 643 396 529.
As a consequence, 742 727 is the square root of 551 643 396 529.
The multiples of 742 727 are all integers evenly divisible by 742 727, that is all numbers such that the remainder of the division by 742 727 is zero. There are infinitely many multiples of 742 727. The smallest multiples of 742 727 are: