Is 9973 a prime number? What are the divisors of 9973?

Is 9973 a prime number?

Yes, 9973 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 9973, the only two divisors are 1 and 9973. Therefore 9973 is a prime number.

As a consequence, 9973 is only a multiple of 1 and 9973.

Since 9973 is a prime number, 9973 is also a deficient number, that is to say 9973 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9973 without 9973 itself (that is 1, by definition!).

Parity of 9973

9973 is an odd number, because it is not evenly divisible by 2.

Is 9973 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 9973 is about 99.865.

Thus, the square root of 9973 is not an integer, and therefore 9973 is not a square number.

Anyway, 9973 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 9973?

The square of a number (here 9973) is the result of the product of this number (9973) by itself (i.e., 9973 × 9973); the square of 9973 is sometimes called "raising 9973 to the power 2", or "9973 squared".

The square of 9973 is 99 460 729 because 9973 × 9973 = 99732 = 99 460 729.

As a consequence, 9973 is the square root of 99 460 729.

Number of digits of 9973

9973 is a number with 4 digits.

What are the multiples of 9973?

The multiples of 9973 are all integers evenly divisible by 9973, that is all numbers such that the remainder of the division by 9973 is zero. There are infinitely many multiples of 9973. The smallest multiples of 9973 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9973 too, since 0 × 9973 = 0
  • 9973: indeed, 9973 is a multiple of itself, since 9973 is evenly divisible by 9973 (we have 9973 / 9973 = 1, so the remainder of this division is indeed zero)
  • 19 946: indeed, 19 946 = 9973 × 2
  • 29 919: indeed, 29 919 = 9973 × 3
  • 39 892: indeed, 39 892 = 9973 × 4
  • 49 865: indeed, 49 865 = 9973 × 5
  • etc.

Numbers near 9973

Nearest numbers from 9973

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