Is 6133 a prime number? What are the divisors of 6133?

## Is 6133 a prime number?

Yes, 6133 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 6133, the only two divisors are 1 and 6133. Therefore 6133 is a prime number.

As a consequence, 6133 is only a multiple of 1 and 6133.

Since 6133 is a prime number, 6133 is also a deficient number, that is to say 6133 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6133 without 6133 itself (that is 1, by definition!).

## Parity of 6133

6133 is an odd number, because it is not evenly divisible by 2.

## Is 6133 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 6133 is about 78.313.

Thus, the square root of 6133 is not an integer, and therefore 6133 is not a square number.

Anyway, 6133 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6133?

The square of a number (here 6133) is the result of the product of this number (6133) by itself (i.e., 6133 × 6133); the square of 6133 is sometimes called "raising 6133 to the power 2", or "6133 squared".

The square of 6133 is 37 613 689 because 6133 × 6133 = 61332 = 37 613 689.

As a consequence, 6133 is the square root of 37 613 689.

## Number of digits of 6133

6133 is a number with 4 digits.

## What are the multiples of 6133?

The multiples of 6133 are all integers evenly divisible by 6133, that is all numbers such that the remainder of the division by 6133 is zero. There are infinitely many multiples of 6133. The smallest multiples of 6133 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6133 too, since 0 × 6133 = 0
• 6133: indeed, 6133 is a multiple of itself, since 6133 is evenly divisible by 6133 (we have 6133 / 6133 = 1, so the remainder of this division is indeed zero)
• 12 266: indeed, 12 266 = 6133 × 2
• 18 399: indeed, 18 399 = 6133 × 3
• 24 532: indeed, 24 532 = 6133 × 4
• 30 665: indeed, 30 665 = 6133 × 5
• etc.

## Nearest numbers from 6133

Find out whether some integer is a prime number