Is 3229 a prime number? What are the divisors of 3229?

## Is 3229 a prime number?

Yes, 3229 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 3229, the only two divisors are 1 and 3229. Therefore 3229 is a prime number.

As a consequence, 3229 is only a multiple of 1 and 3229.

Since 3229 is a prime number, 3229 is also a deficient number, that is to say 3229 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3229 without 3229 itself (that is 1, by definition!).

## Parity of 3229

3229 is an odd number, because it is not evenly divisible by 2.

## Is 3229 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 3229 is about 56.824.

Thus, the square root of 3229 is not an integer, and therefore 3229 is not a square number.

Anyway, 3229 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3229?

The square of a number (here 3229) is the result of the product of this number (3229) by itself (i.e., 3229 × 3229); the square of 3229 is sometimes called "raising 3229 to the power 2", or "3229 squared".

The square of 3229 is 10 426 441 because 3229 × 3229 = 32292 = 10 426 441.

As a consequence, 3229 is the square root of 10 426 441.

## Number of digits of 3229

3229 is a number with 4 digits.

## What are the multiples of 3229?

The multiples of 3229 are all integers evenly divisible by 3229, that is all numbers such that the remainder of the division by 3229 is zero. There are infinitely many multiples of 3229. The smallest multiples of 3229 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3229 too, since 0 × 3229 = 0
• 3229: indeed, 3229 is a multiple of itself, since 3229 is evenly divisible by 3229 (we have 3229 / 3229 = 1, so the remainder of this division is indeed zero)
• 6 458: indeed, 6 458 = 3229 × 2
• 9 687: indeed, 9 687 = 3229 × 3
• 12 916: indeed, 12 916 = 3229 × 4
• 16 145: indeed, 16 145 = 3229 × 5
• etc.

## Nearest numbers from 3229

Find out whether some integer is a prime number