Is 6733 a prime number? What are the divisors of 6733?

## Is 6733 a prime number?

Yes, 6733 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 6733, the only two divisors are 1 and 6733. Therefore 6733 is a prime number.

As a consequence, 6733 is only a multiple of 1 and 6733.

Since 6733 is a prime number, 6733 is also a deficient number, that is to say 6733 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6733 without 6733 itself (that is 1, by definition!).

## Parity of 6733

6733 is an odd number, because it is not evenly divisible by 2.

## Is 6733 a perfect square number?

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 6733 is about 82.055.

Thus, the square root of 6733 is not an integer, and therefore 6733 is not a square number.

Anyway, 6733 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6733?

The square of a number (here 6733) is the result of the product of this number (6733) by itself (i.e., 6733 × 6733); the square of 6733 is sometimes called "raising 6733 to the power 2", or "6733 squared".

The square of 6733 is 45 333 289 because 6733 × 6733 = 67332 = 45 333 289.

As a consequence, 6733 is the square root of 45 333 289.

## Number of digits of 6733

6733 is a number with 4 digits.

## What are the multiples of 6733?

The multiples of 6733 are all integers evenly divisible by 6733, that is all numbers such that the remainder of the division by 6733 is zero. There are infinitely many multiples of 6733. The smallest multiples of 6733 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6733 too, since 0 × 6733 = 0
• 6733: indeed, 6733 is a multiple of itself, since 6733 is evenly divisible by 6733 (we have 6733 / 6733 = 1, so the remainder of this division is indeed zero)
• 13 466: indeed, 13 466 = 6733 × 2
• 20 199: indeed, 20 199 = 6733 × 3
• 26 932: indeed, 26 932 = 6733 × 4
• 33 665: indeed, 33 665 = 6733 × 5
• etc.

## Nearest numbers from 6733

Find out whether some integer is a prime number