Is 6949 a prime number? What are the divisors of 6949?

## Is 6949 a prime number?

Yes, 6949 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 6949, the only two divisors are 1 and 6949. Therefore 6949 is a prime number.

As a consequence, 6949 is only a multiple of 1 and 6949.

Since 6949 is a prime number, 6949 is also a deficient number, that is to say 6949 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6949 without 6949 itself (that is 1, by definition!).

## Parity of 6949

6949 is an odd number, because it is not evenly divisible by 2.

## Is 6949 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 6949 is about 83.361.

Thus, the square root of 6949 is not an integer, and therefore 6949 is not a square number.

Anyway, 6949 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6949?

The square of a number (here 6949) is the result of the product of this number (6949) by itself (i.e., 6949 × 6949); the square of 6949 is sometimes called "raising 6949 to the power 2", or "6949 squared".

The square of 6949 is 48 288 601 because 6949 × 6949 = 69492 = 48 288 601.

As a consequence, 6949 is the square root of 48 288 601.

## Number of digits of 6949

6949 is a number with 4 digits.

## What are the multiples of 6949?

The multiples of 6949 are all integers evenly divisible by 6949, that is all numbers such that the remainder of the division by 6949 is zero. There are infinitely many multiples of 6949. The smallest multiples of 6949 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6949 too, since 0 × 6949 = 0
• 6949: indeed, 6949 is a multiple of itself, since 6949 is evenly divisible by 6949 (we have 6949 / 6949 = 1, so the remainder of this division is indeed zero)
• 13 898: indeed, 13 898 = 6949 × 2
• 20 847: indeed, 20 847 = 6949 × 3
• 27 796: indeed, 27 796 = 6949 × 4
• 34 745: indeed, 34 745 = 6949 × 5
• etc.

## Nearest numbers from 6949

Find out whether some integer is a prime number