Is 4933 a prime number? What are the divisors of 4933?

## Is 4933 a prime number?

Yes, 4933 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 4933, the only two divisors are 1 and 4933. Therefore 4933 is a prime number.

As a consequence, 4933 is only a multiple of 1 and 4933.

Since 4933 is a prime number, 4933 is also a deficient number, that is to say 4933 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4933 without 4933 itself (that is 1, by definition!).

## Parity of 4933

4933 is an odd number, because it is not evenly divisible by 2.

## Is 4933 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 4933 is about 70.235.

Thus, the square root of 4933 is not an integer, and therefore 4933 is not a square number.

Anyway, 4933 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4933?

The square of a number (here 4933) is the result of the product of this number (4933) by itself (i.e., 4933 × 4933); the square of 4933 is sometimes called "raising 4933 to the power 2", or "4933 squared".

The square of 4933 is 24 334 489 because 4933 × 4933 = 49332 = 24 334 489.

As a consequence, 4933 is the square root of 24 334 489.

## Number of digits of 4933

4933 is a number with 4 digits.

## What are the multiples of 4933?

The multiples of 4933 are all integers evenly divisible by 4933, that is all numbers such that the remainder of the division by 4933 is zero. There are infinitely many multiples of 4933. The smallest multiples of 4933 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4933 too, since 0 × 4933 = 0
• 4933: indeed, 4933 is a multiple of itself, since 4933 is evenly divisible by 4933 (we have 4933 / 4933 = 1, so the remainder of this division is indeed zero)
• 9 866: indeed, 9 866 = 4933 × 2
• 14 799: indeed, 14 799 = 4933 × 3
• 19 732: indeed, 19 732 = 4933 × 4
• 24 665: indeed, 24 665 = 4933 × 5
• etc.

## Nearest numbers from 4933

Find out whether some integer is a prime number