1188
1188 is a even composite number that follows 1187 and precedes 1189. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188. Its prime factorization can be written as 2^2 × 3^3 × 11. 1188 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1188 is represented as 10010100100 in binary and 4A4 in hexadecimal. Historically, it is written as MCLXXXVIII in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3^3 × 11) reveals 6 prime building blocks.
Divisible by 2
1188 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
1188 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
1188 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 1188 within several notable number theory sequences:
Timeline
Deep dive
How 1188 breaks down
1188 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2172, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010100100 supports bitwise reasoning, hexadecimal 4A4 aligns with computing notation, and the Roman numeral MCLXXXVIII keeps the encyclopedic tradition alive. These attributes make 1188 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1188 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1183–1193) to tune search ranges, and educators feature 1188 in worksheets about factor trees. 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 (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 1188 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 1188
Is 1188 a prime number?
1188 is composite with 24 total factors and the prime factorization 2^2 × 3^3 × 11.
What is the prime factorization of 1188?
It breaks down as 2^2 × 3^3 × 11, multiplying the primes 2 × 2 × 3 × 3 × 3 × 11.
How is 1188 represented in binary and hexadecimal?
1188 converts to 10010100100 in binary and 4A4 in hexadecimal, which are helpful for computer science applications.
Is 1188 a perfect square, cube, or triangular number?
1188 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1188?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.