848
848 is a even composite number that follows 847 and precedes 849. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 53, 106, 212, 424, 848. Its prime factorization can be written as 2^4 × 53. 848 is classified as a deficient number based on the sum of its proper divisors. In computer science, 848 is represented as 1101010000 in binary and 350 in hexadecimal. Historically, it is written as DCCCXLVIII in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 53) reveals 5 prime building blocks.
Divisible by 2
848 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
848 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 20 is not a multiple of 9.
Divisible by 10
848 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 848 within several notable number theory sequences:
Timeline
Deep dive
How 848 breaks down
848 carries 10 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 826, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101010000 supports bitwise reasoning, hexadecimal 350 aligns with computing notation, and the Roman numeral DCCCXLVIII keeps the encyclopedic tradition alive. These attributes make 848 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 848 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (843–853) to tune search ranges, and educators feature 848 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 848 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 848
Is 848 a prime number?
848 is composite with 10 total factors and the prime factorization 2^4 × 53.
What is the prime factorization of 848?
It breaks down as 2^4 × 53, multiplying the primes 2 × 2 × 2 × 2 × 53.
How is 848 represented in binary and hexadecimal?
848 converts to 1101010000 in binary and 350 in hexadecimal, which are helpful for computer science applications.
Is 848 a perfect square, cube, or triangular number?
848 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 848?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.