3848
3848 is a even composite number that follows 3847 and precedes 3849. It is composed of 16 distinct factors: 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848. Its prime factorization can be written as 2^3 × 13 × 37. 3848 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3848 is represented as 111100001000 in binary and F08 in hexadecimal. Historically, it is written as MMMDCCCXLVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 13 × 37) reveals 5 prime building blocks.
Divisible by 2
3848 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
3848 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
3848 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Abundant classification and digit analytics place 3848 within several notable number theory sequences:
Timeline
Deep dive
How 3848 breaks down
3848 carries 16 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 4132, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100001000 supports bitwise reasoning, hexadecimal F08 aligns with computing notation, and the Roman numeral MMMDCCCXLVIII keeps the encyclopedic tradition alive. These attributes make 3848 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3848 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3843–3853) to tune search ranges, and educators feature 3848 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3848 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 3848
Is 3848 a prime number?
3848 is composite with 16 total factors and the prime factorization 2^3 × 13 × 37.
What is the prime factorization of 3848?
It breaks down as 2^3 × 13 × 37, multiplying the primes 2 × 2 × 2 × 13 × 37.
How is 3848 represented in binary and hexadecimal?
3848 converts to 111100001000 in binary and F08 in hexadecimal, which are helpful for computer science applications.
Is 3848 a perfect square, cube, or triangular number?
3848 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3848?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.