Is 3209 a prime number? What are the divisors of 3209?

## Is 3209 a prime number?

Yes, 3209 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 3209, the only two divisors are 1 and 3209. Therefore 3209 is a prime number.

As a consequence, 3209 is only a multiple of 1 and 3209.

Since 3209 is a prime number, 3209 is also a deficient number, that is to say 3209 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3209 without 3209 itself (that is 1, by definition!).

## Parity of 3209

3209 is an odd number, because it is not evenly divisible by 2.

## Is 3209 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 3209 is about 56.648.

Thus, the square root of 3209 is not an integer, and therefore 3209 is not a square number.

Anyway, 3209 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3209?

The square of a number (here 3209) is the result of the product of this number (3209) by itself (i.e., 3209 × 3209); the square of 3209 is sometimes called "raising 3209 to the power 2", or "3209 squared".

The square of 3209 is 10 297 681 because 3209 × 3209 = 32092 = 10 297 681.

As a consequence, 3209 is the square root of 10 297 681.

## Number of digits of 3209

3209 is a number with 4 digits.

## What are the multiples of 3209?

The multiples of 3209 are all integers evenly divisible by 3209, that is all numbers such that the remainder of the division by 3209 is zero. There are infinitely many multiples of 3209. The smallest multiples of 3209 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3209 too, since 0 × 3209 = 0
• 3209: indeed, 3209 is a multiple of itself, since 3209 is evenly divisible by 3209 (we have 3209 / 3209 = 1, so the remainder of this division is indeed zero)
• 6 418: indeed, 6 418 = 3209 × 2
• 9 627: indeed, 9 627 = 3209 × 3
• 12 836: indeed, 12 836 = 3209 × 4
• 16 045: indeed, 16 045 = 3209 × 5
• etc.

## Nearest numbers from 3209

Find out whether some integer is a prime number