1143
1143 is a odd composite number that follows 1142 and precedes 1144. It is composed of 6 distinct factors: 1, 3, 9, 127, 381, 1143. Its prime factorization can be written as 3^2 × 127. 1143 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1143 is represented as 10001110111 in binary and 477 in hexadecimal. Historically, it is written as MCXLIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 127) reveals 3 prime building blocks.
Divisible by 2
1143 ends in 3, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
1143 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 9 is a multiple of 9.
Divisible by 10
1143 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 1143 within several notable number theory sequences:
Timeline
Deep dive
How 1143 breaks down
1143 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 521, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001110111 supports bitwise reasoning, hexadecimal 477 aligns with computing notation, and the Roman numeral MCXLIII keeps the encyclopedic tradition alive. These attributes make 1143 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1143 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1138–1148) to tune search ranges, and educators feature 1143 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 1143 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 1143
Is 1143 a prime number?
1143 is composite with 6 total factors and the prime factorization 3^2 × 127.
What is the prime factorization of 1143?
It breaks down as 3^2 × 127, multiplying the primes 3 × 3 × 127.
How is 1143 represented in binary and hexadecimal?
1143 converts to 10001110111 in binary and 477 in hexadecimal, which are helpful for computer science applications.
Is 1143 a perfect square, cube, or triangular number?
1143 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1143?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.