Is 3391 a prime number? What are the divisors of 3391?

## Is 3391 a prime number?

Yes, 3391 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 3391, the only two divisors are 1 and 3391. Therefore 3391 is a prime number.

As a consequence, 3391 is only a multiple of 1 and 3391.

Since 3391 is a prime number, 3391 is also a deficient number, that is to say 3391 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3391 without 3391 itself (that is 1, by definition!).

## Parity of 3391

3391 is an odd number, because it is not evenly divisible by 2.

## Is 3391 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 3391 is about 58.232.

Thus, the square root of 3391 is not an integer, and therefore 3391 is not a square number.

Anyway, 3391 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3391?

The square of a number (here 3391) is the result of the product of this number (3391) by itself (i.e., 3391 × 3391); the square of 3391 is sometimes called "raising 3391 to the power 2", or "3391 squared".

The square of 3391 is 11 498 881 because 3391 × 3391 = 33912 = 11 498 881.

As a consequence, 3391 is the square root of 11 498 881.

## Number of digits of 3391

3391 is a number with 4 digits.

## What are the multiples of 3391?

The multiples of 3391 are all integers evenly divisible by 3391, that is all numbers such that the remainder of the division by 3391 is zero. There are infinitely many multiples of 3391. The smallest multiples of 3391 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3391 too, since 0 × 3391 = 0
• 3391: indeed, 3391 is a multiple of itself, since 3391 is evenly divisible by 3391 (we have 3391 / 3391 = 1, so the remainder of this division is indeed zero)
• 6 782: indeed, 6 782 = 3391 × 2
• 10 173: indeed, 10 173 = 3391 × 3
• 13 564: indeed, 13 564 = 3391 × 4
• 16 955: indeed, 16 955 = 3391 × 5
• etc.

## Nearest numbers from 3391

Find out whether some integer is a prime number