2244
2244 is a even composite number that follows 2243 and precedes 2245. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244. Its prime factorization can be written as 2^2 × 3 × 11 × 17. 2244 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2244 is represented as 100011000100 in binary and 8C4 in hexadecimal. Historically, it is written as MMCCXLIV in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 11 × 17) reveals 5 prime building blocks.
Divisible by 2
2244 ends in 4, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
2244 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 12 is not a multiple of 9.
Divisible by 10
2244 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 2244 within several notable number theory sequences:
Timeline
Deep dive
How 2244 breaks down
2244 carries 24 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3804, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100011000100 supports bitwise reasoning, hexadecimal 8C4 aligns with computing notation, and the Roman numeral MMCCXLIV keeps the encyclopedic tradition alive. These attributes make 2244 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2244 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2239–2249) to tune search ranges, and educators feature 2244 in worksheets about factor trees. Its binary footprint of length 12 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 2244 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 2244
Is 2244 a prime number?
2244 is composite with 24 total factors and the prime factorization 2^2 × 3 × 11 × 17.
What is the prime factorization of 2244?
It breaks down as 2^2 × 3 × 11 × 17, multiplying the primes 2 × 2 × 3 × 11 × 17.
How is 2244 represented in binary and hexadecimal?
2244 converts to 100011000100 in binary and 8C4 in hexadecimal, which are helpful for computer science applications.
Is 2244 a perfect square, cube, or triangular number?
2244 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2244?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.