Is 2689 a prime number? What are the divisors of 2689?

## Is 2689 a prime number?

Yes, 2689 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 2689, the only two divisors are 1 and 2689. Therefore 2689 is a prime number.

As a consequence, 2689 is only a multiple of 1 and 2689.

Since 2689 is a prime number, 2689 is also a deficient number, that is to say 2689 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2689 without 2689 itself (that is 1, by definition!).

## Parity of 2689

2689 is an odd number, because it is not evenly divisible by 2.

## Is 2689 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 2689 is about 51.856.

Thus, the square root of 2689 is not an integer, and therefore 2689 is not a square number.

Anyway, 2689 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2689?

The square of a number (here 2689) is the result of the product of this number (2689) by itself (i.e., 2689 × 2689); the square of 2689 is sometimes called "raising 2689 to the power 2", or "2689 squared".

The square of 2689 is 7 230 721 because 2689 × 2689 = 26892 = 7 230 721.

As a consequence, 2689 is the square root of 7 230 721.

## Number of digits of 2689

2689 is a number with 4 digits.

## What are the multiples of 2689?

The multiples of 2689 are all integers evenly divisible by 2689, that is all numbers such that the remainder of the division by 2689 is zero. There are infinitely many multiples of 2689. The smallest multiples of 2689 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2689 too, since 0 × 2689 = 0
• 2689: indeed, 2689 is a multiple of itself, since 2689 is evenly divisible by 2689 (we have 2689 / 2689 = 1, so the remainder of this division is indeed zero)
• 5 378: indeed, 5 378 = 2689 × 2
• 8 067: indeed, 8 067 = 2689 × 3
• 10 756: indeed, 10 756 = 2689 × 4
• 13 445: indeed, 13 445 = 2689 × 5
• etc.

## Nearest numbers from 2689

Find out whether some integer is a prime number