Is 3931 a prime number? What are the divisors of 3931?

## Is 3931 a prime number?

Yes, 3931 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 3931, the only two divisors are 1 and 3931. Therefore 3931 is a prime number.

As a consequence, 3931 is only a multiple of 1 and 3931.

Since 3931 is a prime number, 3931 is also a deficient number, that is to say 3931 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3931 without 3931 itself (that is 1, by definition!).

## Parity of 3931

3931 is an odd number, because it is not evenly divisible by 2.

## Is 3931 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 3931 is about 62.698.

Thus, the square root of 3931 is not an integer, and therefore 3931 is not a square number.

Anyway, 3931 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3931?

The square of a number (here 3931) is the result of the product of this number (3931) by itself (i.e., 3931 × 3931); the square of 3931 is sometimes called "raising 3931 to the power 2", or "3931 squared".

The square of 3931 is 15 452 761 because 3931 × 3931 = 39312 = 15 452 761.

As a consequence, 3931 is the square root of 15 452 761.

## Number of digits of 3931

3931 is a number with 4 digits.

## What are the multiples of 3931?

The multiples of 3931 are all integers evenly divisible by 3931, that is all numbers such that the remainder of the division by 3931 is zero. There are infinitely many multiples of 3931. The smallest multiples of 3931 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3931 too, since 0 × 3931 = 0
• 3931: indeed, 3931 is a multiple of itself, since 3931 is evenly divisible by 3931 (we have 3931 / 3931 = 1, so the remainder of this division is indeed zero)
• 7 862: indeed, 7 862 = 3931 × 2
• 11 793: indeed, 11 793 = 3931 × 3
• 15 724: indeed, 15 724 = 3931 × 4
• 19 655: indeed, 19 655 = 3931 × 5
• etc.

## Nearest numbers from 3931

Find out whether some integer is a prime number