2849
2849 is a odd composite number that follows 2848 and precedes 2850. It is composed of 8 distinct factors: 1, 7, 11, 37, 77, 259, 407, 2849. Its prime factorization can be written as 7 × 11 × 37. 2849 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2849 is represented as 101100100001 in binary and B21 in hexadecimal. Historically, it is written as MMDCCCXLIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (7 × 11 × 37) reveals 3 prime building blocks.
Divisible by 2
2849 ends in 9, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
2849 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 23 is not a multiple of 9.
Divisible by 10
2849 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 2849 within several notable number theory sequences:
Timeline
Deep dive
How 2849 breaks down
2849 carries 8 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 799, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100100001 supports bitwise reasoning, hexadecimal B21 aligns with computing notation, and the Roman numeral MMDCCCXLIX keeps the encyclopedic tradition alive. These attributes make 2849 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2849 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2844–2854) to tune search ranges, and educators feature 2849 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, Deficient numbers) help historians, numerologists, and trivia writers tie 2849 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 2849
Is 2849 a prime number?
2849 is composite with 8 total factors and the prime factorization 7 × 11 × 37.
What is the prime factorization of 2849?
It breaks down as 7 × 11 × 37, multiplying the primes 7 × 11 × 37.
How is 2849 represented in binary and hexadecimal?
2849 converts to 101100100001 in binary and B21 in hexadecimal, which are helpful for computer science applications.
Is 2849 a perfect square, cube, or triangular number?
2849 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2849?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.