1183
1183 is a odd composite number that follows 1182 and precedes 1184. It is composed of 6 distinct factors: 1, 7, 13, 91, 169, 1183. Its prime factorization can be written as 7 × 13^2. 1183 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1183 is represented as 10010011111 in binary and 49F in hexadecimal. Historically, it is written as MCLXXXIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (7 × 13^2) reveals 3 prime building blocks.
Divisible by 2
1183 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 83 are not divisible by 4.
Divisible by 5
1183 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 13 is not a multiple of 9.
Divisible by 10
1183 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 1183 within several notable number theory sequences:
Timeline
Deep dive
How 1183 breaks down
1183 carries 6 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 281, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010011111 supports bitwise reasoning, hexadecimal 49F aligns with computing notation, and the Roman numeral MCLXXXIII keeps the encyclopedic tradition alive. These attributes make 1183 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1183 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1178–1188) to tune search ranges, and educators feature 1183 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1183 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 1183
Is 1183 a prime number?
1183 is composite with 6 total factors and the prime factorization 7 × 13^2.
What is the prime factorization of 1183?
It breaks down as 7 × 13^2, multiplying the primes 7 × 13 × 13.
How is 1183 represented in binary and hexadecimal?
1183 converts to 10010011111 in binary and 49F in hexadecimal, which are helpful for computer science applications.
Is 1183 a perfect square, cube, or triangular number?
1183 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1183?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.