Is 3313 a prime number? What are the divisors of 3313?

## Is 3313 a prime number?

Yes, 3313 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 3313, the only two divisors are 1 and 3313. Therefore 3313 is a prime number.

As a consequence, 3313 is only a multiple of 1 and 3313.

Since 3313 is a prime number, 3313 is also a deficient number, that is to say 3313 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3313 without 3313 itself (that is 1, by definition!).

## Parity of 3313

3313 is an odd number, because it is not evenly divisible by 2.

## Is 3313 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 3313 is about 57.559.

Thus, the square root of 3313 is not an integer, and therefore 3313 is not a square number.

Anyway, 3313 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3313?

The square of a number (here 3313) is the result of the product of this number (3313) by itself (i.e., 3313 × 3313); the square of 3313 is sometimes called "raising 3313 to the power 2", or "3313 squared".

The square of 3313 is 10 975 969 because 3313 × 3313 = 33132 = 10 975 969.

As a consequence, 3313 is the square root of 10 975 969.

## Number of digits of 3313

3313 is a number with 4 digits.

## What are the multiples of 3313?

The multiples of 3313 are all integers evenly divisible by 3313, that is all numbers such that the remainder of the division by 3313 is zero. There are infinitely many multiples of 3313. The smallest multiples of 3313 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3313 too, since 0 × 3313 = 0
• 3313: indeed, 3313 is a multiple of itself, since 3313 is evenly divisible by 3313 (we have 3313 / 3313 = 1, so the remainder of this division is indeed zero)
• 6 626: indeed, 6 626 = 3313 × 2
• 9 939: indeed, 9 939 = 3313 × 3
• 13 252: indeed, 13 252 = 3313 × 4
• 16 565: indeed, 16 565 = 3313 × 5
• etc.

## Nearest numbers from 3313

Find out whether some integer is a prime number