Is 4133 a prime number? What are the divisors of 4133?

## Is 4133 a prime number?

Yes, 4133 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 4133, the only two divisors are 1 and 4133. Therefore 4133 is a prime number.

As a consequence, 4133 is only a multiple of 1 and 4133.

Since 4133 is a prime number, 4133 is also a deficient number, that is to say 4133 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4133 without 4133 itself (that is 1, by definition!).

## Parity of 4133

4133 is an odd number, because it is not evenly divisible by 2.

## Is 4133 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 4133 is about 64.288.

Thus, the square root of 4133 is not an integer, and therefore 4133 is not a square number.

Anyway, 4133 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4133?

The square of a number (here 4133) is the result of the product of this number (4133) by itself (i.e., 4133 × 4133); the square of 4133 is sometimes called "raising 4133 to the power 2", or "4133 squared".

The square of 4133 is 17 081 689 because 4133 × 4133 = 41332 = 17 081 689.

As a consequence, 4133 is the square root of 17 081 689.

## Number of digits of 4133

4133 is a number with 4 digits.

## What are the multiples of 4133?

The multiples of 4133 are all integers evenly divisible by 4133, that is all numbers such that the remainder of the division by 4133 is zero. There are infinitely many multiples of 4133. The smallest multiples of 4133 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4133 too, since 0 × 4133 = 0
• 4133: indeed, 4133 is a multiple of itself, since 4133 is evenly divisible by 4133 (we have 4133 / 4133 = 1, so the remainder of this division is indeed zero)
• 8 266: indeed, 8 266 = 4133 × 2
• 12 399: indeed, 12 399 = 4133 × 3
• 16 532: indeed, 16 532 = 4133 × 4
• 20 665: indeed, 20 665 = 4133 × 5
• etc.

## Nearest numbers from 4133

Find out whether some integer is a prime number