4187

4187 is a natural number that follows 4186 and precedes 4188. In mathematics, it is a composite number known as a semiprime, since it can be written as the product of two distinct primes: 53 and 79. The full prime factorization is 4187 = 53 × 79, giving divisors 1, 53, 79, and 4187.

As a decimal integer, its digits sum to 20, yielding a digital root of 2. It is odd and is not a perfect square or cube. It lies near the power of two 2^12 (4096), as 4187 = 2^12 + 91, with 91 = 7 × 13. In modular terms, 4187 ≡ 2 (mod 3) and ≡ 3 (mod 8). A representation in other bases includes binary 1000001011011 and hexadecimal 0x105B.

From a number-theory perspective, 4187’s status as a product of two primes with a prime factor congruent to 3 mod 4 (79 ≡ 3 mod 4) means it cannot be expressed as a sum of two squares, by Fermat’s theorem on sums of two squares.

Overall, 4187 is an example of a semiprime with straightforward factorization and clear representations in multiple bases, used to illustrate basic properties of composite numbers.