Is 3727 a prime number? What are the divisors of 3727?

## Is 3727 a prime number?

Yes, 3727 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 3727, the only two divisors are 1 and 3727. Therefore 3727 is a prime number.

As a consequence, 3727 is only a multiple of 1 and 3727.

Since 3727 is a prime number, 3727 is also a deficient number, that is to say 3727 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3727 without 3727 itself (that is 1, by definition!).

## Parity of 3727

3727 is an odd number, because it is not evenly divisible by 2.

## Is 3727 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 3727 is about 61.049.

Thus, the square root of 3727 is not an integer, and therefore 3727 is not a square number.

Anyway, 3727 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3727?

The square of a number (here 3727) is the result of the product of this number (3727) by itself (i.e., 3727 × 3727); the square of 3727 is sometimes called "raising 3727 to the power 2", or "3727 squared".

The square of 3727 is 13 890 529 because 3727 × 3727 = 37272 = 13 890 529.

As a consequence, 3727 is the square root of 13 890 529.

## Number of digits of 3727

3727 is a number with 4 digits.

## What are the multiples of 3727?

The multiples of 3727 are all integers evenly divisible by 3727, that is all numbers such that the remainder of the division by 3727 is zero. There are infinitely many multiples of 3727. The smallest multiples of 3727 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3727 too, since 0 × 3727 = 0
• 3727: indeed, 3727 is a multiple of itself, since 3727 is evenly divisible by 3727 (we have 3727 / 3727 = 1, so the remainder of this division is indeed zero)
• 7 454: indeed, 7 454 = 3727 × 2
• 11 181: indeed, 11 181 = 3727 × 3
• 14 908: indeed, 14 908 = 3727 × 4
• 18 635: indeed, 18 635 = 3727 × 5
• etc.

## Nearest numbers from 3727

Find out whether some integer is a prime number