Is 2113 a prime number? What are the divisors of 2113?

Is 2113 a prime number?

Yes, 2113 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 2113, the only two divisors are 1 and 2113. Therefore 2113 is a prime number.

As a consequence, 2113 is only a multiple of 1 and 2113.

Since 2113 is a prime number, 2113 is also a deficient number, that is to say 2113 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2113 without 2113 itself (that is 1, by definition!).

Parity of 2113

2113 is an odd number, because it is not evenly divisible by 2.

Is 2113 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 2113 is about 45.967.

Thus, the square root of 2113 is not an integer, and therefore 2113 is not a square number.

Anyway, 2113 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 2113?

The square of a number (here 2113) is the result of the product of this number (2113) by itself (i.e., 2113 × 2113); the square of 2113 is sometimes called "raising 2113 to the power 2", or "2113 squared".

The square of 2113 is 4 464 769 because 2113 × 2113 = 21132 = 4 464 769.

As a consequence, 2113 is the square root of 4 464 769.

Number of digits of 2113

2113 is a number with 4 digits.

What are the multiples of 2113?

The multiples of 2113 are all integers evenly divisible by 2113, that is all numbers such that the remainder of the division by 2113 is zero. There are infinitely many multiples of 2113. The smallest multiples of 2113 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2113 too, since 0 × 2113 = 0
  • 2113: indeed, 2113 is a multiple of itself, since 2113 is evenly divisible by 2113 (we have 2113 / 2113 = 1, so the remainder of this division is indeed zero)
  • 4 226: indeed, 4 226 = 2113 × 2
  • 6 339: indeed, 6 339 = 2113 × 3
  • 8 452: indeed, 8 452 = 2113 × 4
  • 10 565: indeed, 10 565 = 2113 × 5
  • etc.

Numbers near 2113

Nearest numbers from 2113

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