Is 6679 a prime number? What are the divisors of 6679?

## Is 6679 a prime number?

Yes, 6679 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 6679, the only two divisors are 1 and 6679. Therefore 6679 is a prime number.

As a consequence, 6679 is only a multiple of 1 and 6679.

Since 6679 is a prime number, 6679 is also a deficient number, that is to say 6679 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6679 without 6679 itself (that is 1, by definition!).

## Parity of 6679

6679 is an odd number, because it is not evenly divisible by 2.

## Is 6679 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 6679 is about 81.725.

Thus, the square root of 6679 is not an integer, and therefore 6679 is not a square number.

Anyway, 6679 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6679?

The square of a number (here 6679) is the result of the product of this number (6679) by itself (i.e., 6679 × 6679); the square of 6679 is sometimes called "raising 6679 to the power 2", or "6679 squared".

The square of 6679 is 44 609 041 because 6679 × 6679 = 66792 = 44 609 041.

As a consequence, 6679 is the square root of 44 609 041.

## Number of digits of 6679

6679 is a number with 4 digits.

## What are the multiples of 6679?

The multiples of 6679 are all integers evenly divisible by 6679, that is all numbers such that the remainder of the division by 6679 is zero. There are infinitely many multiples of 6679. The smallest multiples of 6679 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6679 too, since 0 × 6679 = 0
• 6679: indeed, 6679 is a multiple of itself, since 6679 is evenly divisible by 6679 (we have 6679 / 6679 = 1, so the remainder of this division is indeed zero)
• 13 358: indeed, 13 358 = 6679 × 2
• 20 037: indeed, 20 037 = 6679 × 3
• 26 716: indeed, 26 716 = 6679 × 4
• 33 395: indeed, 33 395 = 6679 × 5
• etc.

## Nearest numbers from 6679

Find out whether some integer is a prime number