Is 3299 a prime number? What are the divisors of 3299?

## Is 3299 a prime number?

Yes, 3299 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 3299, the only two divisors are 1 and 3299. Therefore 3299 is a prime number.

As a consequence, 3299 is only a multiple of 1 and 3299.

Since 3299 is a prime number, 3299 is also a deficient number, that is to say 3299 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3299 without 3299 itself (that is 1, by definition!).

## Parity of 3299

3299 is an odd number, because it is not evenly divisible by 2.

## Is 3299 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 3299 is about 57.437.

Thus, the square root of 3299 is not an integer, and therefore 3299 is not a square number.

Anyway, 3299 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3299?

The square of a number (here 3299) is the result of the product of this number (3299) by itself (i.e., 3299 × 3299); the square of 3299 is sometimes called "raising 3299 to the power 2", or "3299 squared".

The square of 3299 is 10 883 401 because 3299 × 3299 = 32992 = 10 883 401.

As a consequence, 3299 is the square root of 10 883 401.

## Number of digits of 3299

3299 is a number with 4 digits.

## What are the multiples of 3299?

The multiples of 3299 are all integers evenly divisible by 3299, that is all numbers such that the remainder of the division by 3299 is zero. There are infinitely many multiples of 3299. The smallest multiples of 3299 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3299 too, since 0 × 3299 = 0
• 3299: indeed, 3299 is a multiple of itself, since 3299 is evenly divisible by 3299 (we have 3299 / 3299 = 1, so the remainder of this division is indeed zero)
• 6 598: indeed, 6 598 = 3299 × 2
• 9 897: indeed, 9 897 = 3299 × 3
• 13 196: indeed, 13 196 = 3299 × 4
• 16 495: indeed, 16 495 = 3299 × 5
• etc.

## Nearest numbers from 3299

Find out whether some integer is a prime number