Is 42437 a prime number? What are the divisors of 42437?

Is 42437 a prime number?

Yes, 42437 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 42437, the only two divisors are 1 and 42437. Therefore 42437 is a prime number.

As a consequence, 42437 is only a multiple of 1 and 42437.

Since 42437 is a prime number, 42437 is also a deficient number, that is to say 42437 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42437 without 42437 itself (that is 1, by definition!).

Parity of 42437

42437 is an odd number, because it is not evenly divisible by 2.

Is 42437 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 42437 is about 206.002.

Thus, the square root of 42437 is not an integer, and therefore 42437 is not a square number.

Anyway, 42437 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 42437?

The square of a number (here 42437) is the result of the product of this number (42437) by itself (i.e., 42437 × 42437); the square of 42437 is sometimes called "raising 42437 to the power 2", or "42437 squared".

The square of 42437 is 1 800 898 969 because 42437 × 42437 = 424372 = 1 800 898 969.

As a consequence, 42437 is the square root of 1 800 898 969.

Number of digits of 42437

42437 is a number with 5 digits.

What are the multiples of 42437?

The multiples of 42437 are all integers evenly divisible by 42437, that is all numbers such that the remainder of the division by 42437 is zero. There are infinitely many multiples of 42437. The smallest multiples of 42437 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 42437 too, since 0 × 42437 = 0
  • 42437: indeed, 42437 is a multiple of itself, since 42437 is evenly divisible by 42437 (we have 42437 / 42437 = 1, so the remainder of this division is indeed zero)
  • 84 874: indeed, 84 874 = 42437 × 2
  • 127 311: indeed, 127 311 = 42437 × 3
  • 169 748: indeed, 169 748 = 42437 × 4
  • 212 185: indeed, 212 185 = 42437 × 5
  • etc.

Numbers near 42437

Nearest numbers from 42437

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