Is 9949 a prime number? What are the divisors of 9949?

Is 9949 a prime number?

Yes, 9949 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 9949, the only two divisors are 1 and 9949. Therefore 9949 is a prime number.

As a consequence, 9949 is only a multiple of 1 and 9949.

Since 9949 is a prime number, 9949 is also a deficient number, that is to say 9949 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9949 without 9949 itself (that is 1, by definition!).

Parity of 9949

9949 is an odd number, because it is not evenly divisible by 2.

Is 9949 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 9949 is about 99.745.

Thus, the square root of 9949 is not an integer, and therefore 9949 is not a square number.

Anyway, 9949 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 9949?

The square of a number (here 9949) is the result of the product of this number (9949) by itself (i.e., 9949 × 9949); the square of 9949 is sometimes called "raising 9949 to the power 2", or "9949 squared".

The square of 9949 is 98 982 601 because 9949 × 9949 = 99492 = 98 982 601.

As a consequence, 9949 is the square root of 98 982 601.

Number of digits of 9949

9949 is a number with 4 digits.

What are the multiples of 9949?

The multiples of 9949 are all integers evenly divisible by 9949, that is all numbers such that the remainder of the division by 9949 is zero. There are infinitely many multiples of 9949. The smallest multiples of 9949 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9949 too, since 0 × 9949 = 0
  • 9949: indeed, 9949 is a multiple of itself, since 9949 is evenly divisible by 9949 (we have 9949 / 9949 = 1, so the remainder of this division is indeed zero)
  • 19 898: indeed, 19 898 = 9949 × 2
  • 29 847: indeed, 29 847 = 9949 × 3
  • 39 796: indeed, 39 796 = 9949 × 4
  • 49 745: indeed, 49 745 = 9949 × 5
  • etc.

Numbers near 9949

Nearest numbers from 9949

Find out whether some integer is a prime number