Is 5507 a prime number? What are the divisors of 5507?

Is 5507 a prime number?

Yes, 5507 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 5507, the only two divisors are 1 and 5507. Therefore 5507 is a prime number.

As a consequence, 5507 is only a multiple of 1 and 5507.

Since 5507 is a prime number, 5507 is also a deficient number, that is to say 5507 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5507 without 5507 itself (that is 1, by definition!).

Parity of 5507

5507 is an odd number, because it is not evenly divisible by 2.

Is 5507 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 5507 is about 74.209.

Thus, the square root of 5507 is not an integer, and therefore 5507 is not a square number.

Anyway, 5507 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 5507?

The square of a number (here 5507) is the result of the product of this number (5507) by itself (i.e., 5507 × 5507); the square of 5507 is sometimes called "raising 5507 to the power 2", or "5507 squared".

The square of 5507 is 30 327 049 because 5507 × 5507 = 55072 = 30 327 049.

As a consequence, 5507 is the square root of 30 327 049.

Number of digits of 5507

5507 is a number with 4 digits.

What are the multiples of 5507?

The multiples of 5507 are all integers evenly divisible by 5507, that is all numbers such that the remainder of the division by 5507 is zero. There are infinitely many multiples of 5507. The smallest multiples of 5507 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5507 too, since 0 × 5507 = 0
  • 5507: indeed, 5507 is a multiple of itself, since 5507 is evenly divisible by 5507 (we have 5507 / 5507 = 1, so the remainder of this division is indeed zero)
  • 11 014: indeed, 11 014 = 5507 × 2
  • 16 521: indeed, 16 521 = 5507 × 3
  • 22 028: indeed, 22 028 = 5507 × 4
  • 27 535: indeed, 27 535 = 5507 × 5
  • etc.

Numbers near 5507

Nearest numbers from 5507

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