1144
1144 is a even composite number that follows 1143 and precedes 1145. It is composed of 16 distinct factors: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144. Its prime factorization can be written as 2^3 × 11 × 13. 1144 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1144 is represented as 10001111000 in binary and 478 in hexadecimal. Historically, it is written as MCXLIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 11 × 13) reveals 5 prime building blocks.
Divisible by 2
1144 ends in 4, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
1144 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 10 is not a multiple of 9.
Divisible by 10
1144 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 1144 within several notable number theory sequences:
Timeline
Deep dive
How 1144 breaks down
1144 carries 16 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 1376, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001111000 supports bitwise reasoning, hexadecimal 478 aligns with computing notation, and the Roman numeral MCXLIV keeps the encyclopedic tradition alive. These attributes make 1144 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1144 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1139–1149) to tune search ranges, and educators feature 1144 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 1144 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 1144
Is 1144 a prime number?
1144 is composite with 16 total factors and the prime factorization 2^3 × 11 × 13.
What is the prime factorization of 1144?
It breaks down as 2^3 × 11 × 13, multiplying the primes 2 × 2 × 2 × 11 × 13.
How is 1144 represented in binary and hexadecimal?
1144 converts to 10001111000 in binary and 478 in hexadecimal, which are helpful for computer science applications.
Is 1144 a perfect square, cube, or triangular number?
1144 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1144?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.