Is 3323 a prime number? What are the divisors of 3323?

## Is 3323 a prime number?

Yes, 3323 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 3323, the only two divisors are 1 and 3323. Therefore 3323 is a prime number.

As a consequence, 3323 is only a multiple of 1 and 3323.

Since 3323 is a prime number, 3323 is also a deficient number, that is to say 3323 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3323 without 3323 itself (that is 1, by definition!).

## Parity of 3323

3323 is an odd number, because it is not evenly divisible by 2.

## Is 3323 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 3323 is about 57.645.

Thus, the square root of 3323 is not an integer, and therefore 3323 is not a square number.

Anyway, 3323 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3323?

The square of a number (here 3323) is the result of the product of this number (3323) by itself (i.e., 3323 × 3323); the square of 3323 is sometimes called "raising 3323 to the power 2", or "3323 squared".

The square of 3323 is 11 042 329 because 3323 × 3323 = 33232 = 11 042 329.

As a consequence, 3323 is the square root of 11 042 329.

## Number of digits of 3323

3323 is a number with 4 digits.

## What are the multiples of 3323?

The multiples of 3323 are all integers evenly divisible by 3323, that is all numbers such that the remainder of the division by 3323 is zero. There are infinitely many multiples of 3323. The smallest multiples of 3323 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3323 too, since 0 × 3323 = 0
• 3323: indeed, 3323 is a multiple of itself, since 3323 is evenly divisible by 3323 (we have 3323 / 3323 = 1, so the remainder of this division is indeed zero)
• 6 646: indeed, 6 646 = 3323 × 2
• 9 969: indeed, 9 969 = 3323 × 3
• 13 292: indeed, 13 292 = 3323 × 4
• 16 615: indeed, 16 615 = 3323 × 5
• etc.

## Nearest numbers from 3323

Find out whether some integer is a prime number