187
187 is a odd composite number that follows 186 and precedes 188. It is composed of 4 distinct factors: 1, 11, 17, 187. Its prime factorization can be written as 11 × 17. 187 is classified as a deficient number based on the sum of its proper divisors. In computer science, 187 is represented as 10111011 in binary and BB in hexadecimal. Historically, it is written as CLXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 17) reveals 2 prime building blocks.
Divisible by 2
187 ends in 7, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
187 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 16 is not a multiple of 9.
Divisible by 10
187 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 187 within several notable number theory sequences:
Timeline
Deep dive
How 187 breaks down
187 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 29, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111011 supports bitwise reasoning, hexadecimal BB aligns with computing notation, and the Roman numeral CLXXXVII keeps the encyclopedic tradition alive. These attributes make 187 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 187 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (182–192) to tune search ranges, and educators feature 187 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 187 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 187
Is 187 a prime number?
187 is composite with 4 total factors and the prime factorization 11 × 17.
What is the prime factorization of 187?
It breaks down as 11 × 17, multiplying the primes 11 × 17.
How is 187 represented in binary and hexadecimal?
187 converts to 10111011 in binary and BB in hexadecimal, which are helpful for computer science applications.
Is 187 a perfect square, cube, or triangular number?
187 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 187?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.