Is 3083 a prime number? What are the divisors of 3083?

## Is 3083 a prime number?

Yes, 3083 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 3083, the only two divisors are 1 and 3083. Therefore 3083 is a prime number.

As a consequence, 3083 is only a multiple of 1 and 3083.

Since 3083 is a prime number, 3083 is also a deficient number, that is to say 3083 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3083 without 3083 itself (that is 1, by definition!).

## Parity of 3083

3083 is an odd number, because it is not evenly divisible by 2.

## Is 3083 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 3083 is about 55.525.

Thus, the square root of 3083 is not an integer, and therefore 3083 is not a square number.

Anyway, 3083 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3083?

The square of a number (here 3083) is the result of the product of this number (3083) by itself (i.e., 3083 × 3083); the square of 3083 is sometimes called "raising 3083 to the power 2", or "3083 squared".

The square of 3083 is 9 504 889 because 3083 × 3083 = 30832 = 9 504 889.

As a consequence, 3083 is the square root of 9 504 889.

## Number of digits of 3083

3083 is a number with 4 digits.

## What are the multiples of 3083?

The multiples of 3083 are all integers evenly divisible by 3083, that is all numbers such that the remainder of the division by 3083 is zero. There are infinitely many multiples of 3083. The smallest multiples of 3083 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3083 too, since 0 × 3083 = 0
• 3083: indeed, 3083 is a multiple of itself, since 3083 is evenly divisible by 3083 (we have 3083 / 3083 = 1, so the remainder of this division is indeed zero)
• 6 166: indeed, 6 166 = 3083 × 2
• 9 249: indeed, 9 249 = 3083 × 3
• 12 332: indeed, 12 332 = 3083 × 4
• 15 415: indeed, 15 415 = 3083 × 5
• etc.

## Nearest numbers from 3083

Find out whether some integer is a prime number