Is 3779 a prime number? What are the divisors of 3779?

## Is 3779 a prime number?

Yes, 3779 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 3779, the only two divisors are 1 and 3779. Therefore 3779 is a prime number.

As a consequence, 3779 is only a multiple of 1 and 3779.

Since 3779 is a prime number, 3779 is also a deficient number, that is to say 3779 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3779 without 3779 itself (that is 1, by definition!).

## Parity of 3779

3779 is an odd number, because it is not evenly divisible by 2.

## Is 3779 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 3779 is about 61.474.

Thus, the square root of 3779 is not an integer, and therefore 3779 is not a square number.

Anyway, 3779 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3779?

The square of a number (here 3779) is the result of the product of this number (3779) by itself (i.e., 3779 × 3779); the square of 3779 is sometimes called "raising 3779 to the power 2", or "3779 squared".

The square of 3779 is 14 280 841 because 3779 × 3779 = 37792 = 14 280 841.

As a consequence, 3779 is the square root of 14 280 841.

## Number of digits of 3779

3779 is a number with 4 digits.

## What are the multiples of 3779?

The multiples of 3779 are all integers evenly divisible by 3779, that is all numbers such that the remainder of the division by 3779 is zero. There are infinitely many multiples of 3779. The smallest multiples of 3779 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3779 too, since 0 × 3779 = 0
• 3779: indeed, 3779 is a multiple of itself, since 3779 is evenly divisible by 3779 (we have 3779 / 3779 = 1, so the remainder of this division is indeed zero)
• 7 558: indeed, 7 558 = 3779 × 2
• 11 337: indeed, 11 337 = 3779 × 3
• 15 116: indeed, 15 116 = 3779 × 4
• 18 895: indeed, 18 895 = 3779 × 5
• etc.

## Nearest numbers from 3779

Find out whether some integer is a prime number