Is 3803 a prime number? What are the divisors of 3803?

## Is 3803 a prime number?

Yes, 3803 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 3803, the only two divisors are 1 and 3803. Therefore 3803 is a prime number.

As a consequence, 3803 is only a multiple of 1 and 3803.

Since 3803 is a prime number, 3803 is also a deficient number, that is to say 3803 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3803 without 3803 itself (that is 1, by definition!).

## Parity of 3803

3803 is an odd number, because it is not evenly divisible by 2.

## Is 3803 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 3803 is about 61.668.

Thus, the square root of 3803 is not an integer, and therefore 3803 is not a square number.

Anyway, 3803 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3803?

The square of a number (here 3803) is the result of the product of this number (3803) by itself (i.e., 3803 × 3803); the square of 3803 is sometimes called "raising 3803 to the power 2", or "3803 squared".

The square of 3803 is 14 462 809 because 3803 × 3803 = 38032 = 14 462 809.

As a consequence, 3803 is the square root of 14 462 809.

## Number of digits of 3803

3803 is a number with 4 digits.

## What are the multiples of 3803?

The multiples of 3803 are all integers evenly divisible by 3803, that is all numbers such that the remainder of the division by 3803 is zero. There are infinitely many multiples of 3803. The smallest multiples of 3803 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3803 too, since 0 × 3803 = 0
• 3803: indeed, 3803 is a multiple of itself, since 3803 is evenly divisible by 3803 (we have 3803 / 3803 = 1, so the remainder of this division is indeed zero)
• 7 606: indeed, 7 606 = 3803 × 2
• 11 409: indeed, 11 409 = 3803 × 3
• 15 212: indeed, 15 212 = 3803 × 4
• 19 015: indeed, 19 015 = 3803 × 5
• etc.

## Nearest numbers from 3803

Find out whether some integer is a prime number