2750
2750 is a even composite number that follows 2749 and precedes 2751. It is composed of 16 distinct factors: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. Its prime factorization can be written as 2 × 5^3 × 11. 2750 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2750 is represented as 101010111110 in binary and ABE in hexadecimal. Historically, it is written as MMDCCL in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5^3 × 11) reveals 5 prime building blocks.
Divisible by 2
2750 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
2750 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 14 is not a multiple of 9.
Divisible by 10
2750 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 2750 within several notable number theory sequences:
Timeline
Deep dive
How 2750 breaks down
2750 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 2866, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010111110 supports bitwise reasoning, hexadecimal ABE aligns with computing notation, and the Roman numeral MMDCCL keeps the encyclopedic tradition alive. These attributes make 2750 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2750 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2745–2755) to tune search ranges, and educators feature 2750 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 2750 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 2750
Is 2750 a prime number?
2750 is composite with 16 total factors and the prime factorization 2 × 5^3 × 11.
What is the prime factorization of 2750?
It breaks down as 2 × 5^3 × 11, multiplying the primes 2 × 5 × 5 × 5 × 11.
How is 2750 represented in binary and hexadecimal?
2750 converts to 101010111110 in binary and ABE in hexadecimal, which are helpful for computer science applications.
Is 2750 a perfect square, cube, or triangular number?
2750 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2750?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.