Is 10273 a prime number? What are the divisors of 10273?

## Is 10273 a prime number?

Yes, 10273 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 10273, the only two divisors are 1 and 10273. Therefore 10273 is a prime number.

As a consequence, 10273 is only a multiple of 1 and 10273.

Since 10273 is a prime number, 10273 is also a deficient number, that is to say 10273 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10273 without 10273 itself (that is 1, by definition!).

## Parity of 10273

10273 is an odd number, because it is not evenly divisible by 2.

## Is 10273 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 10273 is about 101.356.

Thus, the square root of 10273 is not an integer, and therefore 10273 is not a square number.

Anyway, 10273 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10273?

The square of a number (here 10273) is the result of the product of this number (10273) by itself (i.e., 10273 × 10273); the square of 10273 is sometimes called "raising 10273 to the power 2", or "10273 squared".

The square of 10273 is 105 534 529 because 10273 × 10273 = 102732 = 105 534 529.

As a consequence, 10273 is the square root of 105 534 529.

## Number of digits of 10273

10273 is a number with 5 digits.

## What are the multiples of 10273?

The multiples of 10273 are all integers evenly divisible by 10273, that is all numbers such that the remainder of the division by 10273 is zero. There are infinitely many multiples of 10273. The smallest multiples of 10273 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10273 too, since 0 × 10273 = 0
• 10273: indeed, 10273 is a multiple of itself, since 10273 is evenly divisible by 10273 (we have 10273 / 10273 = 1, so the remainder of this division is indeed zero)
• 20 546: indeed, 20 546 = 10273 × 2
• 30 819: indeed, 30 819 = 10273 × 3
• 41 092: indeed, 41 092 = 10273 × 4
• 51 365: indeed, 51 365 = 10273 × 5
• etc.

## Nearest numbers from 10273

Find out whether some integer is a prime number