2744
2744 is a even composite number that follows 2743 and precedes 2745. It is composed of 16 distinct factors: 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744. Its prime factorization can be written as 2^3 × 7^3. 2744 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2744 is represented as 101010111000 in binary and AB8 in hexadecimal. Historically, it is written as MMDCCXLIV in Roman numerals. It also belongs to the perfect cube sequence.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 7^3) reveals 6 prime building blocks.
Divisible by 2
2744 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
2744 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 17 is not a multiple of 9.
Divisible by 10
2744 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 2744 within several notable number theory sequences:
Timeline
Deep dive
How 2744 breaks down
2744 carries 16 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 3256, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010111000 supports bitwise reasoning, hexadecimal AB8 aligns with computing notation, and the Roman numeral MMDCCXLIV keeps the encyclopedic tradition alive. These attributes make 2744 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2744 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2739–2749) to tune search ranges, and educators feature 2744 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, Perfect cubes) help historians, numerologists, and trivia writers tie 2744 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 2744
Is 2744 a prime number?
2744 is composite with 16 total factors and the prime factorization 2^3 × 7^3.
What is the prime factorization of 2744?
It breaks down as 2^3 × 7^3, multiplying the primes 2 × 2 × 2 × 7 × 7 × 7.
How is 2744 represented in binary and hexadecimal?
2744 converts to 101010111000 in binary and AB8 in hexadecimal, which are helpful for computer science applications.
Is 2744 a perfect square, cube, or triangular number?
2744 is not a perfect square, is a perfect cube, and is not triangular.
What are the digit sum and digital root of 2744?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.