Is 1693 a prime number? What are the divisors of 1693?

## Is 1693 a prime number?

Yes, 1693 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 1693, the only two divisors are 1 and 1693. Therefore 1693 is a prime number.

As a consequence, 1693 is only a multiple of 1 and 1693.

Since 1693 is a prime number, 1693 is also a deficient number, that is to say 1693 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1693 without 1693 itself (that is 1, by definition!).

## Parity of 1693

1693 is an odd number, because it is not evenly divisible by 2.

## Is 1693 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 1693 is about 41.146.

Thus, the square root of 1693 is not an integer, and therefore 1693 is not a square number.

Anyway, 1693 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1693?

The square of a number (here 1693) is the result of the product of this number (1693) by itself (i.e., 1693 × 1693); the square of 1693 is sometimes called "raising 1693 to the power 2", or "1693 squared".

The square of 1693 is 2 866 249 because 1693 × 1693 = 16932 = 2 866 249.

As a consequence, 1693 is the square root of 2 866 249.

## Number of digits of 1693

1693 is a number with 4 digits.

## What are the multiples of 1693?

The multiples of 1693 are all integers evenly divisible by 1693, that is all numbers such that the remainder of the division by 1693 is zero. There are infinitely many multiples of 1693. The smallest multiples of 1693 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1693 too, since 0 × 1693 = 0
• 1693: indeed, 1693 is a multiple of itself, since 1693 is evenly divisible by 1693 (we have 1693 / 1693 = 1, so the remainder of this division is indeed zero)
• 3 386: indeed, 3 386 = 1693 × 2
• 5 079: indeed, 5 079 = 1693 × 3
• 6 772: indeed, 6 772 = 1693 × 4
• 8 465: indeed, 8 465 = 1693 × 5
• etc.

## Nearest numbers from 1693

Find out whether some integer is a prime number