Is 10427 a prime number? What are the divisors of 10427?

## Is 10427 a prime number?

Yes, 10427 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 10427, the only two divisors are 1 and 10427. Therefore 10427 is a prime number.

As a consequence, 10427 is only a multiple of 1 and 10427.

Since 10427 is a prime number, 10427 is also a deficient number, that is to say 10427 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10427 without 10427 itself (that is 1, by definition!).

## Parity of 10427

10427 is an odd number, because it is not evenly divisible by 2.

## Is 10427 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 10427 is about 102.113.

Thus, the square root of 10427 is not an integer, and therefore 10427 is not a square number.

Anyway, 10427 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10427?

The square of a number (here 10427) is the result of the product of this number (10427) by itself (i.e., 10427 × 10427); the square of 10427 is sometimes called "raising 10427 to the power 2", or "10427 squared".

The square of 10427 is 108 722 329 because 10427 × 10427 = 104272 = 108 722 329.

As a consequence, 10427 is the square root of 108 722 329.

## Number of digits of 10427

10427 is a number with 5 digits.

## What are the multiples of 10427?

The multiples of 10427 are all integers evenly divisible by 10427, that is all numbers such that the remainder of the division by 10427 is zero. There are infinitely many multiples of 10427. The smallest multiples of 10427 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10427 too, since 0 × 10427 = 0
• 10427: indeed, 10427 is a multiple of itself, since 10427 is evenly divisible by 10427 (we have 10427 / 10427 = 1, so the remainder of this division is indeed zero)
• 20 854: indeed, 20 854 = 10427 × 2
• 31 281: indeed, 31 281 = 10427 × 3
• 41 708: indeed, 41 708 = 10427 × 4
• 52 135: indeed, 52 135 = 10427 × 5
• etc.

## Nearest numbers from 10427

Find out whether some integer is a prime number