Is 1993 a prime number? What are the divisors of 1993?

Is 1993 a prime number?

Yes, 1993 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 1993, the only two divisors are 1 and 1993. Therefore 1993 is a prime number.

As a consequence, 1993 is only a multiple of 1 and 1993.

Therefore year 1993 was a prime year.

Since 1993 is a prime number, 1993 is also a deficient number, that is to say 1993 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1993 without 1993 itself (that is 1, by definition!).

Parity of 1993

1993 is an odd number, because it is not evenly divisible by 2.

Is 1993 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 1993 is about 44.643.

Thus, the square root of 1993 is not an integer, and therefore 1993 is not a square number.

Anyway, 1993 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1993?

The square of a number (here 1993) is the result of the product of this number (1993) by itself (i.e., 1993 × 1993); the square of 1993 is sometimes called "raising 1993 to the power 2", or "1993 squared".

The square of 1993 is 3 972 049 because 1993 × 1993 = 19932 = 3 972 049.

As a consequence, 1993 is the square root of 3 972 049.

Number of digits of 1993

1993 is a number with 4 digits.

What are the multiples of 1993?

The multiples of 1993 are all integers evenly divisible by 1993, that is all numbers such that the remainder of the division by 1993 is zero. There are infinitely many multiples of 1993. The smallest multiples of 1993 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1993 too, since 0 × 1993 = 0
  • 1993: indeed, 1993 is a multiple of itself, since 1993 is evenly divisible by 1993 (we have 1993 / 1993 = 1, so the remainder of this division is indeed zero)
  • 3 986: indeed, 3 986 = 1993 × 2
  • 5 979: indeed, 5 979 = 1993 × 3
  • 7 972: indeed, 7 972 = 1993 × 4
  • 9 965: indeed, 9 965 = 1993 × 5
  • etc.

Numbers near 1993

Nearest numbers from 1993

Find out whether some integer is a prime number