1044
1044 is a even composite number that follows 1043 and precedes 1045. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. Its prime factorization can be written as 2^2 × 3^2 × 29. 1044 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1044 is represented as 10000010100 in binary and 414 in hexadecimal. Historically, it is written as MXLIV in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 29) reveals 5 prime building blocks.
Divisible by 2
1044 ends in 4, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
1044 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
1044 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 1044 within several notable number theory sequences:
Timeline
Deep dive
How 1044 breaks down
1044 carries 18 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 1686, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000010100 supports bitwise reasoning, hexadecimal 414 aligns with computing notation, and the Roman numeral MXLIV keeps the encyclopedic tradition alive. These attributes make 1044 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1044 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1039–1049) to tune search ranges, and educators feature 1044 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 1044 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 1044
Is 1044 a prime number?
1044 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 29.
What is the prime factorization of 1044?
It breaks down as 2^2 × 3^2 × 29, multiplying the primes 2 × 2 × 3 × 3 × 29.
How is 1044 represented in binary and hexadecimal?
1044 converts to 10000010100 in binary and 414 in hexadecimal, which are helpful for computer science applications.
Is 1044 a perfect square, cube, or triangular number?
1044 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1044?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.