Is 5503 a prime number? What are the divisors of 5503?

## Is 5503 a prime number?

Yes, 5503 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 5503, the only two divisors are 1 and 5503. Therefore 5503 is a prime number.

As a consequence, 5503 is only a multiple of 1 and 5503.

Since 5503 is a prime number, 5503 is also a deficient number, that is to say 5503 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5503 without 5503 itself (that is 1, by definition!).

## Parity of 5503

5503 is an odd number, because it is not evenly divisible by 2.

## Is 5503 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 5503 is about 74.182.

Thus, the square root of 5503 is not an integer, and therefore 5503 is not a square number.

Anyway, 5503 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5503?

The square of a number (here 5503) is the result of the product of this number (5503) by itself (i.e., 5503 × 5503); the square of 5503 is sometimes called "raising 5503 to the power 2", or "5503 squared".

The square of 5503 is 30 283 009 because 5503 × 5503 = 55032 = 30 283 009.

As a consequence, 5503 is the square root of 30 283 009.

## Number of digits of 5503

5503 is a number with 4 digits.

## What are the multiples of 5503?

The multiples of 5503 are all integers evenly divisible by 5503, that is all numbers such that the remainder of the division by 5503 is zero. There are infinitely many multiples of 5503. The smallest multiples of 5503 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5503 too, since 0 × 5503 = 0
• 5503: indeed, 5503 is a multiple of itself, since 5503 is evenly divisible by 5503 (we have 5503 / 5503 = 1, so the remainder of this division is indeed zero)
• 11 006: indeed, 11 006 = 5503 × 2
• 16 509: indeed, 16 509 = 5503 × 3
• 22 012: indeed, 22 012 = 5503 × 4
• 27 515: indeed, 27 515 = 5503 × 5
• etc.

## Nearest numbers from 5503

Find out whether some integer is a prime number