849
849 is a odd composite number that follows 848 and precedes 850. It is composed of 4 distinct factors: 1, 3, 283, 849. Its prime factorization can be written as 3 × 283. 849 is classified as a deficient number based on the sum of its proper divisors. In computer science, 849 is represented as 1101010001 in binary and 351 in hexadecimal. Historically, it is written as DCCCXLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 283) reveals 2 prime building blocks.
Divisible by 2
849 ends in 9, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
849 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 21 is not a multiple of 9.
Divisible by 10
849 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 849 within several notable number theory sequences:
Timeline
Deep dive
How 849 breaks down
849 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 287, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101010001 supports bitwise reasoning, hexadecimal 351 aligns with computing notation, and the Roman numeral DCCCXLIX keeps the encyclopedic tradition alive. These attributes make 849 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 849 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (844–854) to tune search ranges, and educators feature 849 in worksheets about factor trees. Its binary footprint of length 10 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 849 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 849
Is 849 a prime number?
849 is composite with 4 total factors and the prime factorization 3 × 283.
What is the prime factorization of 849?
It breaks down as 3 × 283, multiplying the primes 3 × 283.
How is 849 represented in binary and hexadecimal?
849 converts to 1101010001 in binary and 351 in hexadecimal, which are helpful for computer science applications.
Is 849 a perfect square, cube, or triangular number?
849 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 849?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.