Is 4931 a prime number? What are the divisors of 4931?

## Is 4931 a prime number?

Yes, 4931 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 4931, the only two divisors are 1 and 4931. Therefore 4931 is a prime number.

As a consequence, 4931 is only a multiple of 1 and 4931.

Since 4931 is a prime number, 4931 is also a deficient number, that is to say 4931 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4931 without 4931 itself (that is 1, by definition!).

## Parity of 4931

4931 is an odd number, because it is not evenly divisible by 2.

## Is 4931 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 4931 is about 70.221.

Thus, the square root of 4931 is not an integer, and therefore 4931 is not a square number.

Anyway, 4931 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4931?

The square of a number (here 4931) is the result of the product of this number (4931) by itself (i.e., 4931 × 4931); the square of 4931 is sometimes called "raising 4931 to the power 2", or "4931 squared".

The square of 4931 is 24 314 761 because 4931 × 4931 = 49312 = 24 314 761.

As a consequence, 4931 is the square root of 24 314 761.

## Number of digits of 4931

4931 is a number with 4 digits.

## What are the multiples of 4931?

The multiples of 4931 are all integers evenly divisible by 4931, that is all numbers such that the remainder of the division by 4931 is zero. There are infinitely many multiples of 4931. The smallest multiples of 4931 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4931 too, since 0 × 4931 = 0
• 4931: indeed, 4931 is a multiple of itself, since 4931 is evenly divisible by 4931 (we have 4931 / 4931 = 1, so the remainder of this division is indeed zero)
• 9 862: indeed, 9 862 = 4931 × 2
• 14 793: indeed, 14 793 = 4931 × 3
• 19 724: indeed, 19 724 = 4931 × 4
• 24 655: indeed, 24 655 = 4931 × 5
• etc.

## Nearest numbers from 4931

Find out whether some integer is a prime number