2748
2748 is a even composite number that follows 2747 and precedes 2749. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748. Its prime factorization can be written as 2^2 × 3 × 229. 2748 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2748 is represented as 101010111100 in binary and ABC in hexadecimal. Historically, it is written as MMDCCXLVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 229) reveals 4 prime building blocks.
Divisible by 2
2748 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
2748 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 21 is not a multiple of 9.
Divisible by 10
2748 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Abundant classification and digit analytics place 2748 within several notable number theory sequences:
Timeline
Deep dive
How 2748 breaks down
2748 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3692, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010111100 supports bitwise reasoning, hexadecimal ABC aligns with computing notation, and the Roman numeral MMDCCXLVIII keeps the encyclopedic tradition alive. These attributes make 2748 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2748 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2743–2753) to tune search ranges, and educators feature 2748 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 2748 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 2748
Is 2748 a prime number?
2748 is composite with 12 total factors and the prime factorization 2^2 × 3 × 229.
What is the prime factorization of 2748?
It breaks down as 2^2 × 3 × 229, multiplying the primes 2 × 2 × 3 × 229.
How is 2748 represented in binary and hexadecimal?
2748 converts to 101010111100 in binary and ABC in hexadecimal, which are helpful for computer science applications.
Is 2748 a perfect square, cube, or triangular number?
2748 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2748?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.