6848
6848 is a even composite number that follows 6847 and precedes 6849. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848. Its prime factorization can be written as 2^6 × 107. 6848 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6848 is represented as 1101011000000 in binary and 1AC0 in hexadecimal.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 107) reveals 7 prime building blocks.
Divisible by 2
6848 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
6848 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 26 is not a multiple of 9.
Divisible by 10
6848 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 6848 within several notable number theory sequences:
Timeline
Deep dive
How 6848 breaks down
6848 carries 14 distinct factors and a digit signature of 26 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 6868, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011000000 supports bitwise reasoning, hexadecimal 1AC0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6848 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6848 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6843–6853) to tune search ranges, and educators feature 6848 in worksheets about factor trees. Its binary footprint of length 13 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 6848 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 6848
Is 6848 a prime number?
6848 is composite with 14 total factors and the prime factorization 2^6 × 107.
What is the prime factorization of 6848?
It breaks down as 2^6 × 107, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 107.
How is 6848 represented in binary and hexadecimal?
6848 converts to 1101011000000 in binary and 1AC0 in hexadecimal, which are helpful for computer science applications.
Is 6848 a perfect square, cube, or triangular number?
6848 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6848?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.