It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 006 729 is not a prime number.
For example, 8 006 729 can be divided by 43: 8 006 729 / 43 = 186 203.
For 8 006 729 to be a prime number, it would have been required that 8 006 729 has only two divisors, i.e., itself and 1.
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8 006 729 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 8 006 729 is about 2 829.616.
Thus, the square root of 8 006 729 is not an integer, and therefore 8 006 729 is not a square number.
The square of a number (here 8 006 729) is the result of the product of this number (8 006 729) by itself (i.e., 8 006 729 × 8 006 729); the square of 8 006 729 is sometimes called "raising 8 006 729 to the power 2", or "8 006 729 squared".
The square of 8 006 729 is 64 107 709 279 441 because 8 006 729 × 8 006 729 = 8 006 7292 = 64 107 709 279 441.
As a consequence, 8 006 729 is the square root of 64 107 709 279 441.
The multiples of 8 006 729 are all integers evenly divisible by 8 006 729, that is all numbers such that the remainder of the division by 8 006 729 is zero. There are infinitely many multiples of 8 006 729. The smallest multiples of 8 006 729 are: