Is 10463 a prime number? What are the divisors of 10463?

## Is 10463 a prime number?

Yes, 10463 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 10463, the only two divisors are 1 and 10463. Therefore 10463 is a prime number.

As a consequence, 10463 is only a multiple of 1 and 10463.

Since 10463 is a prime number, 10463 is also a deficient number, that is to say 10463 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10463 without 10463 itself (that is 1, by definition!).

## Parity of 10463

10463 is an odd number, because it is not evenly divisible by 2.

## Is 10463 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 10463 is about 102.289.

Thus, the square root of 10463 is not an integer, and therefore 10463 is not a square number.

Anyway, 10463 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10463?

The square of a number (here 10463) is the result of the product of this number (10463) by itself (i.e., 10463 × 10463); the square of 10463 is sometimes called "raising 10463 to the power 2", or "10463 squared".

The square of 10463 is 109 474 369 because 10463 × 10463 = 104632 = 109 474 369.

As a consequence, 10463 is the square root of 109 474 369.

## Number of digits of 10463

10463 is a number with 5 digits.

## What are the multiples of 10463?

The multiples of 10463 are all integers evenly divisible by 10463, that is all numbers such that the remainder of the division by 10463 is zero. There are infinitely many multiples of 10463. The smallest multiples of 10463 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10463 too, since 0 × 10463 = 0
• 10463: indeed, 10463 is a multiple of itself, since 10463 is evenly divisible by 10463 (we have 10463 / 10463 = 1, so the remainder of this division is indeed zero)
• 20 926: indeed, 20 926 = 10463 × 2
• 31 389: indeed, 31 389 = 10463 × 3
• 41 852: indeed, 41 852 = 10463 × 4
• 52 315: indeed, 52 315 = 10463 × 5
• etc.

## Nearest numbers from 10463

Find out whether some integer is a prime number