Is 9929 a prime number? What are the divisors of 9929?

Is 9929 a prime number?

Yes, 9929 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 9929, the only two divisors are 1 and 9929. Therefore 9929 is a prime number.

As a consequence, 9929 is only a multiple of 1 and 9929.

Since 9929 is a prime number, 9929 is also a deficient number, that is to say 9929 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9929 without 9929 itself (that is 1, by definition!).

Parity of 9929

9929 is an odd number, because it is not evenly divisible by 2.

Is 9929 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 9929 is about 99.644.

Thus, the square root of 9929 is not an integer, and therefore 9929 is not a square number.

Anyway, 9929 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 9929?

The square of a number (here 9929) is the result of the product of this number (9929) by itself (i.e., 9929 × 9929); the square of 9929 is sometimes called "raising 9929 to the power 2", or "9929 squared".

The square of 9929 is 98 585 041 because 9929 × 9929 = 99292 = 98 585 041.

As a consequence, 9929 is the square root of 98 585 041.

Number of digits of 9929

9929 is a number with 4 digits.

What are the multiples of 9929?

The multiples of 9929 are all integers evenly divisible by 9929, that is all numbers such that the remainder of the division by 9929 is zero. There are infinitely many multiples of 9929. The smallest multiples of 9929 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9929 too, since 0 × 9929 = 0
  • 9929: indeed, 9929 is a multiple of itself, since 9929 is evenly divisible by 9929 (we have 9929 / 9929 = 1, so the remainder of this division is indeed zero)
  • 19 858: indeed, 19 858 = 9929 × 2
  • 29 787: indeed, 29 787 = 9929 × 3
  • 39 716: indeed, 39 716 = 9929 × 4
  • 49 645: indeed, 49 645 = 9929 × 5
  • etc.

Numbers near 9929

Nearest numbers from 9929

Find out whether some integer is a prime number