Is 187 a prime number? What are the divisors of 187?

Is 187 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 187, the answer is: No, 187 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 187) is as follows: 1, 11, 17, 187.

To be 187 a prime number, it would have been required that 187 has only two divisors, i.e., itself and 1.

As a consequence:

  • 187 is a multiple of 1
  • 187 is a multiple of 11
  • 187 is a multiple of 17

To be 187 a prime number, it would have been required that 187 has only two divisors, i.e., itself and 1.

However, 187 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 187 = 11 x 17, where 11 and 17 are both prime numbers.

Is 187 a deficient number?

Yes, 187 is a deficient number, that is to say 187 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 187 without 187 itself (that is 1 + 11 + 17 = 29).

Parity of 187

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

Is 187 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 187 is about 13.675.

Thus, the square root of 187 is not an integer, and therefore 187 is not a square number.

What is the square number of 187?

The square of a number (here 187) is the result of the product of this number (187) by itself (i.e., 187 × 187); the square of 187 is sometimes called "raising 187 to the power 2", or "187 squared".

The square of 187 is 34 969 because 187 × 187 = 1872 = 34 969.

As a consequence, 187 is the square root of 34 969.

Number of digits of 187

187 is a number with 3 digits.

What are the multiples of 187?

The multiples of 187 are all integers evenly divisible by 187, that is all numbers such that the remainder of the division by 187 is zero. There are infinitely many multiples of 187. The smallest multiples of 187 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 187 too, since 0 × 187 = 0
  • 187: indeed, 187 is a multiple of itself, since 187 is evenly divisible by 187 (we have 187 / 187 = 1, so the remainder of this division is indeed zero)
  • 374: indeed, 374 = 187 × 2
  • 561: indeed, 561 = 187 × 3
  • 748: indeed, 748 = 187 × 4
  • 935: indeed, 935 = 187 × 5
  • etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 187). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 13.675). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 187

  • Preceding numbers: …185, 186
  • Following numbers: 188, 189

Nearest numbers from 187

  • Preceding prime number: 181
  • Following prime number: 191
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