Is 8513 a prime number? What are the divisors of 8513?

Is 8513 a prime number?

Yes, 8513 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 8513, the only two divisors are 1 and 8513. Therefore 8513 is a prime number.

As a consequence, 8513 is only a multiple of 1 and 8513.

Since 8513 is a prime number, 8513 is also a deficient number, that is to say 8513 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8513 without 8513 itself (that is 1, by definition!).

Parity of 8513

8513 is an odd number, because it is not evenly divisible by 2.

Is 8513 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 8513 is about 92.266.

Thus, the square root of 8513 is not an integer, and therefore 8513 is not a square number.

Anyway, 8513 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 8513?

The square of a number (here 8513) is the result of the product of this number (8513) by itself (i.e., 8513 × 8513); the square of 8513 is sometimes called "raising 8513 to the power 2", or "8513 squared".

The square of 8513 is 72 471 169 because 8513 × 8513 = 85132 = 72 471 169.

As a consequence, 8513 is the square root of 72 471 169.

Number of digits of 8513

8513 is a number with 4 digits.

What are the multiples of 8513?

The multiples of 8513 are all integers evenly divisible by 8513, that is all numbers such that the remainder of the division by 8513 is zero. There are infinitely many multiples of 8513. The smallest multiples of 8513 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8513 too, since 0 × 8513 = 0
  • 8513: indeed, 8513 is a multiple of itself, since 8513 is evenly divisible by 8513 (we have 8513 / 8513 = 1, so the remainder of this division is indeed zero)
  • 17 026: indeed, 17 026 = 8513 × 2
  • 25 539: indeed, 25 539 = 8513 × 3
  • 34 052: indeed, 34 052 = 8513 × 4
  • 42 565: indeed, 42 565 = 8513 × 5
  • etc.

Numbers near 8513

Nearest numbers from 8513

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