3809
3809 is a odd composite number that follows 3808 and precedes 3810. It is composed of 4 distinct factors: 1, 13, 293, 3809. Its prime factorization can be written as 13 × 293. 3809 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3809 is represented as 111011100001 in binary and EE1 in hexadecimal. Historically, it is written as MMMDCCCIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 293) reveals 2 prime building blocks.
Divisible by 2
3809 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
3809 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
3809 does not end in 0.
Divisible by 11
The alternating digit sum -14 is not a multiple of 11.
Deficient classification and digit analytics place 3809 within several notable number theory sequences:
Timeline
Deep dive
How 3809 breaks down
3809 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 307, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011100001 supports bitwise reasoning, hexadecimal EE1 aligns with computing notation, and the Roman numeral MMMDCCCIX keeps the encyclopedic tradition alive. These attributes make 3809 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3809 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3804–3814) to tune search ranges, and educators feature 3809 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3809 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 3809
Is 3809 a prime number?
3809 is composite with 4 total factors and the prime factorization 13 × 293.
What is the prime factorization of 3809?
It breaks down as 13 × 293, multiplying the primes 13 × 293.
How is 3809 represented in binary and hexadecimal?
3809 converts to 111011100001 in binary and EE1 in hexadecimal, which are helpful for computer science applications.
Is 3809 a perfect square, cube, or triangular number?
3809 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3809?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.