Is 1741 a prime number? What are the divisors of 1741?

## Is 1741 a prime number?

Yes, 1741 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 1741, the only two divisors are 1 and 1741. Therefore 1741 is a prime number.

As a consequence, 1741 is only a multiple of 1 and 1741.

Since 1741 is a prime number, 1741 is also a deficient number, that is to say 1741 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1741 without 1741 itself (that is 1, by definition!).

## Parity of 1741

1741 is an odd number, because it is not evenly divisible by 2.

## Is 1741 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 1741 is about 41.725.

Thus, the square root of 1741 is not an integer, and therefore 1741 is not a square number.

Anyway, 1741 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1741?

The square of a number (here 1741) is the result of the product of this number (1741) by itself (i.e., 1741 × 1741); the square of 1741 is sometimes called "raising 1741 to the power 2", or "1741 squared".

The square of 1741 is 3 031 081 because 1741 × 1741 = 17412 = 3 031 081.

As a consequence, 1741 is the square root of 3 031 081.

## Number of digits of 1741

1741 is a number with 4 digits.

## What are the multiples of 1741?

The multiples of 1741 are all integers evenly divisible by 1741, that is all numbers such that the remainder of the division by 1741 is zero. There are infinitely many multiples of 1741. The smallest multiples of 1741 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1741 too, since 0 × 1741 = 0
• 1741: indeed, 1741 is a multiple of itself, since 1741 is evenly divisible by 1741 (we have 1741 / 1741 = 1, so the remainder of this division is indeed zero)
• 3 482: indeed, 3 482 = 1741 × 2
• 5 223: indeed, 5 223 = 1741 × 3
• 6 964: indeed, 6 964 = 1741 × 4
• 8 705: indeed, 8 705 = 1741 × 5
• etc.

## Nearest numbers from 1741

Find out whether some integer is a prime number