Is 6983 a prime number? What are the divisors of 6983?

## Is 6983 a prime number?

Yes, 6983 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 6983, the only two divisors are 1 and 6983. Therefore 6983 is a prime number.

As a consequence, 6983 is only a multiple of 1 and 6983.

Since 6983 is a prime number, 6983 is also a deficient number, that is to say 6983 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6983 without 6983 itself (that is 1, by definition!).

## Parity of 6983

6983 is an odd number, because it is not evenly divisible by 2.

## Is 6983 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 6983 is about 83.564.

Thus, the square root of 6983 is not an integer, and therefore 6983 is not a square number.

Anyway, 6983 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6983?

The square of a number (here 6983) is the result of the product of this number (6983) by itself (i.e., 6983 × 6983); the square of 6983 is sometimes called "raising 6983 to the power 2", or "6983 squared".

The square of 6983 is 48 762 289 because 6983 × 6983 = 69832 = 48 762 289.

As a consequence, 6983 is the square root of 48 762 289.

## Number of digits of 6983

6983 is a number with 4 digits.

## What are the multiples of 6983?

The multiples of 6983 are all integers evenly divisible by 6983, that is all numbers such that the remainder of the division by 6983 is zero. There are infinitely many multiples of 6983. The smallest multiples of 6983 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6983 too, since 0 × 6983 = 0
• 6983: indeed, 6983 is a multiple of itself, since 6983 is evenly divisible by 6983 (we have 6983 / 6983 = 1, so the remainder of this division is indeed zero)
• 13 966: indeed, 13 966 = 6983 × 2
• 20 949: indeed, 20 949 = 6983 × 3
• 27 932: indeed, 27 932 = 6983 × 4
• 34 915: indeed, 34 915 = 6983 × 5
• etc.

## Nearest numbers from 6983

Find out whether some integer is a prime number