2749
2749 is a odd prime number that follows 2748 and precedes 2750. As a prime number, 2749 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2749. 2749 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2749 is represented as 101010111101 in binary and ABD in hexadecimal. Historically, it is written as MMDCCXLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
2749 is prime, so its only factors are 1 and 2749.
Divisible by 2
2749 ends in 9, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
2749 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 22 is not a multiple of 9.
Divisible by 10
2749 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Deficient classification and digit analytics place 2749 within several notable number theory sequences:
Timeline
Deep dive
How 2749 breaks down
2749 carries 2 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010111101 supports bitwise reasoning, hexadecimal ABD aligns with computing notation, and the Roman numeral MMDCCXLIX keeps the encyclopedic tradition alive. These attributes make 2749 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2749 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2744–2754) to tune search ranges, and educators feature 2749 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2749 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 2749
Is 2749 a prime number?
2749 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2749?
2749 is already prime, so the factorization is simply 2749.
How is 2749 represented in binary and hexadecimal?
2749 converts to 101010111101 in binary and ABD in hexadecimal, which are helpful for computer science applications.
Is 2749 a perfect square, cube, or triangular number?
2749 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2749?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.