Is 37423 a prime number? What are the divisors of 37423?

Is 37423 a prime number?

Yes, 37423 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 37423, the only two divisors are 1 and 37423. Therefore 37423 is a prime number.

As a consequence, 37423 is only a multiple of 1 and 37423.

Since 37423 is a prime number, 37423 is also a deficient number, that is to say 37423 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37423 without 37423 itself (that is 1, by definition!).

Parity of 37423

37423 is an odd number, because it is not evenly divisible by 2.

Is 37423 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 37423 is about 193.450.

Thus, the square root of 37423 is not an integer, and therefore 37423 is not a square number.

Anyway, 37423 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 37423?

The square of a number (here 37423) is the result of the product of this number (37423) by itself (i.e., 37423 × 37423); the square of 37423 is sometimes called "raising 37423 to the power 2", or "37423 squared".

The square of 37423 is 1 400 480 929 because 37423 × 37423 = 374232 = 1 400 480 929.

As a consequence, 37423 is the square root of 1 400 480 929.

Number of digits of 37423

37423 is a number with 5 digits.

What are the multiples of 37423?

The multiples of 37423 are all integers evenly divisible by 37423, that is all numbers such that the remainder of the division by 37423 is zero. There are infinitely many multiples of 37423. The smallest multiples of 37423 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37423 too, since 0 × 37423 = 0
  • 37423: indeed, 37423 is a multiple of itself, since 37423 is evenly divisible by 37423 (we have 37423 / 37423 = 1, so the remainder of this division is indeed zero)
  • 74 846: indeed, 74 846 = 37423 × 2
  • 112 269: indeed, 112 269 = 37423 × 3
  • 149 692: indeed, 149 692 = 37423 × 4
  • 187 115: indeed, 187 115 = 37423 × 5
  • etc.

Numbers near 37423

Nearest numbers from 37423

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