1187
1187 is a odd prime number that follows 1186 and precedes 1188. As a prime number, 1187 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1187. 1187 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1187 is represented as 10010100011 in binary and 4A3 in hexadecimal. Historically, it is written as MCLXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
1187 is prime, so its only factors are 1 and 1187.
Divisible by 2
1187 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
1187 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 17 is not a multiple of 9.
Divisible by 10
1187 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 1187 within several notable number theory sequences:
Timeline
Deep dive
How 1187 breaks down
1187 carries 2 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010100011 supports bitwise reasoning, hexadecimal 4A3 aligns with computing notation, and the Roman numeral MCLXXXVII keeps the encyclopedic tradition alive. These attributes make 1187 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1187 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1182–1192) to tune search ranges, and educators feature 1187 in worksheets about prime identification. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1187 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 1187
Is 1187 a prime number?
1187 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1187?
1187 is already prime, so the factorization is simply 1187.
How is 1187 represented in binary and hexadecimal?
1187 converts to 10010100011 in binary and 4A3 in hexadecimal, which are helpful for computer science applications.
Is 1187 a perfect square, cube, or triangular number?
1187 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1187?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.