1199
1199 is a odd composite number that follows 1198 and precedes 1200. It is composed of 4 distinct factors: 1, 11, 109, 1199. Its prime factorization can be written as 11 × 109. 1199 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1199 is represented as 10010101111 in binary and 4AF in hexadecimal. Historically, it is written as MCXCIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 109) reveals 2 prime building blocks.
Divisible by 2
1199 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 99 are not divisible by 4.
Divisible by 5
1199 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 20 is not a multiple of 9.
Divisible by 10
1199 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1199 within several notable number theory sequences:
Timeline
Deep dive
How 1199 breaks down
1199 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 121, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010101111 supports bitwise reasoning, hexadecimal 4AF aligns with computing notation, and the Roman numeral MCXCIX keeps the encyclopedic tradition alive. These attributes make 1199 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1199 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1194–1204) to tune search ranges, and educators feature 1199 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 1199 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 1199
Is 1199 a prime number?
1199 is composite with 4 total factors and the prime factorization 11 × 109.
What is the prime factorization of 1199?
It breaks down as 11 × 109, multiplying the primes 11 × 109.
How is 1199 represented in binary and hexadecimal?
1199 converts to 10010101111 in binary and 4AF in hexadecimal, which are helpful for computer science applications.
Is 1199 a perfect square, cube, or triangular number?
1199 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1199?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.