3808
3808 is a even composite number that follows 3807 and precedes 3809. It is composed of 24 distinct factors: 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808. Its prime factorization can be written as 2^5 × 7 × 17. 3808 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3808 is represented as 111011100000 in binary and EE0 in hexadecimal. Historically, it is written as MMMDCCCVIII in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 7 × 17) reveals 7 prime building blocks.
Divisible by 2
3808 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
3808 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 19 is not a multiple of 9.
Divisible by 10
3808 does not end in 0.
Divisible by 11
The alternating digit sum -13 is not a multiple of 11.
Abundant classification and digit analytics place 3808 within several notable number theory sequences:
Timeline
Deep dive
How 3808 breaks down
3808 carries 24 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 5264, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011100000 supports bitwise reasoning, hexadecimal EE0 aligns with computing notation, and the Roman numeral MMMDCCCVIII keeps the encyclopedic tradition alive. These attributes make 3808 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3808 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3803–3813) to tune search ranges, and educators feature 3808 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 3808 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 3808
Is 3808 a prime number?
3808 is composite with 24 total factors and the prime factorization 2^5 × 7 × 17.
What is the prime factorization of 3808?
It breaks down as 2^5 × 7 × 17, multiplying the primes 2 × 2 × 2 × 2 × 2 × 7 × 17.
How is 3808 represented in binary and hexadecimal?
3808 converts to 111011100000 in binary and EE0 in hexadecimal, which are helpful for computer science applications.
Is 3808 a perfect square, cube, or triangular number?
3808 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3808?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.