Is 2467 a prime number? What are the divisors of 2467?

Is 2467 a prime number?

Yes, 2467 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 2467, the only two divisors are 1 and 2467. Therefore 2467 is a prime number.

As a consequence, 2467 is only a multiple of 1 and 2467.

Since 2467 is a prime number, 2467 is also a deficient number, that is to say 2467 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2467 without 2467 itself (that is 1, by definition!).

Parity of 2467

2467 is an odd number, because it is not evenly divisible by 2.

Is 2467 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 2467 is about 49.669.

Thus, the square root of 2467 is not an integer, and therefore 2467 is not a square number.

Anyway, 2467 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 2467?

The square of a number (here 2467) is the result of the product of this number (2467) by itself (i.e., 2467 × 2467); the square of 2467 is sometimes called "raising 2467 to the power 2", or "2467 squared".

The square of 2467 is 6 086 089 because 2467 × 2467 = 24672 = 6 086 089.

As a consequence, 2467 is the square root of 6 086 089.

Number of digits of 2467

2467 is a number with 4 digits.

What are the multiples of 2467?

The multiples of 2467 are all integers evenly divisible by 2467, that is all numbers such that the remainder of the division by 2467 is zero. There are infinitely many multiples of 2467. The smallest multiples of 2467 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2467 too, since 0 × 2467 = 0
  • 2467: indeed, 2467 is a multiple of itself, since 2467 is evenly divisible by 2467 (we have 2467 / 2467 = 1, so the remainder of this division is indeed zero)
  • 4 934: indeed, 4 934 = 2467 × 2
  • 7 401: indeed, 7 401 = 2467 × 3
  • 9 868: indeed, 9 868 = 2467 × 4
  • 12 335: indeed, 12 335 = 2467 × 5
  • etc.

Numbers near 2467

Nearest numbers from 2467

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