Is 4973 a prime number? What are the divisors of 4973?

Is 4973 a prime number?

Yes, 4973 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 4973, the only two divisors are 1 and 4973. Therefore 4973 is a prime number.

As a consequence, 4973 is only a multiple of 1 and 4973.

Since 4973 is a prime number, 4973 is also a deficient number, that is to say 4973 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4973 without 4973 itself (that is 1, by definition!).

Parity of 4973

4973 is an odd number, because it is not evenly divisible by 2.

Is 4973 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 4973 is about 70.520.

Thus, the square root of 4973 is not an integer, and therefore 4973 is not a square number.

Anyway, 4973 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 4973?

The square of a number (here 4973) is the result of the product of this number (4973) by itself (i.e., 4973 × 4973); the square of 4973 is sometimes called "raising 4973 to the power 2", or "4973 squared".

The square of 4973 is 24 730 729 because 4973 × 4973 = 49732 = 24 730 729.

As a consequence, 4973 is the square root of 24 730 729.

Number of digits of 4973

4973 is a number with 4 digits.

What are the multiples of 4973?

The multiples of 4973 are all integers evenly divisible by 4973, that is all numbers such that the remainder of the division by 4973 is zero. There are infinitely many multiples of 4973. The smallest multiples of 4973 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4973 too, since 0 × 4973 = 0
  • 4973: indeed, 4973 is a multiple of itself, since 4973 is evenly divisible by 4973 (we have 4973 / 4973 = 1, so the remainder of this division is indeed zero)
  • 9 946: indeed, 9 946 = 4973 × 2
  • 14 919: indeed, 14 919 = 4973 × 3
  • 19 892: indeed, 19 892 = 4973 × 4
  • 24 865: indeed, 24 865 = 4973 × 5
  • etc.

Numbers near 4973

Nearest numbers from 4973

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