Is 5501 a prime number? What are the divisors of 5501?

## Is 5501 a prime number?

Yes, 5501 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 5501, the only two divisors are 1 and 5501. Therefore 5501 is a prime number.

As a consequence, 5501 is only a multiple of 1 and 5501.

Since 5501 is a prime number, 5501 is also a deficient number, that is to say 5501 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5501 without 5501 itself (that is 1, by definition!).

## Parity of 5501

5501 is an odd number, because it is not evenly divisible by 2.

## Is 5501 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 5501 is about 74.169.

Thus, the square root of 5501 is not an integer, and therefore 5501 is not a square number.

Anyway, 5501 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5501?

The square of a number (here 5501) is the result of the product of this number (5501) by itself (i.e., 5501 × 5501); the square of 5501 is sometimes called "raising 5501 to the power 2", or "5501 squared".

The square of 5501 is 30 261 001 because 5501 × 5501 = 55012 = 30 261 001.

As a consequence, 5501 is the square root of 30 261 001.

## Number of digits of 5501

5501 is a number with 4 digits.

## What are the multiples of 5501?

The multiples of 5501 are all integers evenly divisible by 5501, that is all numbers such that the remainder of the division by 5501 is zero. There are infinitely many multiples of 5501. The smallest multiples of 5501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5501 too, since 0 × 5501 = 0
• 5501: indeed, 5501 is a multiple of itself, since 5501 is evenly divisible by 5501 (we have 5501 / 5501 = 1, so the remainder of this division is indeed zero)
• 11 002: indeed, 11 002 = 5501 × 2
• 16 503: indeed, 16 503 = 5501 × 3
• 22 004: indeed, 22 004 = 5501 × 4
• 27 505: indeed, 27 505 = 5501 × 5
• etc.

## Nearest numbers from 5501

Find out whether some integer is a prime number