Is 4231 a prime number? What are the divisors of 4231?

Is 4231 a prime number?

Yes, 4231 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 4231, the only two divisors are 1 and 4231. Therefore 4231 is a prime number.

As a consequence, 4231 is only a multiple of 1 and 4231.

Since 4231 is a prime number, 4231 is also a deficient number, that is to say 4231 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4231 without 4231 itself (that is 1, by definition!).

Parity of 4231

4231 is an odd number, because it is not evenly divisible by 2.

Is 4231 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 4231 is about 65.046.

Thus, the square root of 4231 is not an integer, and therefore 4231 is not a square number.

Anyway, 4231 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 4231?

The square of a number (here 4231) is the result of the product of this number (4231) by itself (i.e., 4231 × 4231); the square of 4231 is sometimes called "raising 4231 to the power 2", or "4231 squared".

The square of 4231 is 17 901 361 because 4231 × 4231 = 42312 = 17 901 361.

As a consequence, 4231 is the square root of 17 901 361.

Number of digits of 4231

4231 is a number with 4 digits.

What are the multiples of 4231?

The multiples of 4231 are all integers evenly divisible by 4231, that is all numbers such that the remainder of the division by 4231 is zero. There are infinitely many multiples of 4231. The smallest multiples of 4231 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4231 too, since 0 × 4231 = 0
  • 4231: indeed, 4231 is a multiple of itself, since 4231 is evenly divisible by 4231 (we have 4231 / 4231 = 1, so the remainder of this division is indeed zero)
  • 8 462: indeed, 8 462 = 4231 × 2
  • 12 693: indeed, 12 693 = 4231 × 3
  • 16 924: indeed, 16 924 = 4231 × 4
  • 21 155: indeed, 21 155 = 4231 × 5
  • etc.

Numbers near 4231

Nearest numbers from 4231

Find out whether some integer is a prime number