1184
1184 is a even composite number that follows 1183 and precedes 1185. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184. Its prime factorization can be written as 2^5 × 37. 1184 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1184 is represented as 10010100000 in binary and 4A0 in hexadecimal. Historically, it is written as MCLXXXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 37) reveals 6 prime building blocks.
Divisible by 2
1184 ends in 4, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
1184 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 14 is not a multiple of 9.
Divisible by 10
1184 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 1184 within several notable number theory sequences:
Timeline
Deep dive
How 1184 breaks down
1184 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 1210, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010100000 supports bitwise reasoning, hexadecimal 4A0 aligns with computing notation, and the Roman numeral MCLXXXIV keeps the encyclopedic tradition alive. These attributes make 1184 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1184 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1179–1189) to tune search ranges, and educators feature 1184 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 1184 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 1184
Is 1184 a prime number?
1184 is composite with 12 total factors and the prime factorization 2^5 × 37.
What is the prime factorization of 1184?
It breaks down as 2^5 × 37, multiplying the primes 2 × 2 × 2 × 2 × 2 × 37.
How is 1184 represented in binary and hexadecimal?
1184 converts to 10010100000 in binary and 4A0 in hexadecimal, which are helpful for computer science applications.
Is 1184 a perfect square, cube, or triangular number?
1184 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1184?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.