3091
3091 is a odd composite number that follows 3090 and precedes 3092. It is composed of 4 distinct factors: 1, 11, 281, 3091. Its prime factorization can be written as 11 × 281. 3091 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3091 is represented as 110000010011 in binary and C13 in hexadecimal. Historically, it is written as MMMXCI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 281) reveals 2 prime building blocks.
Divisible by 2
3091 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
3091 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 13 is not a multiple of 9.
Divisible by 10
3091 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 3091 within several notable number theory sequences:
Timeline
Deep dive
How 3091 breaks down
3091 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 293, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000010011 supports bitwise reasoning, hexadecimal C13 aligns with computing notation, and the Roman numeral MMMXCI keeps the encyclopedic tradition alive. These attributes make 3091 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3091 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3086–3096) to tune search ranges, and educators feature 3091 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 3091 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 3091
Is 3091 a prime number?
3091 is composite with 4 total factors and the prime factorization 11 × 281.
What is the prime factorization of 3091?
It breaks down as 11 × 281, multiplying the primes 11 × 281.
How is 3091 represented in binary and hexadecimal?
3091 converts to 110000010011 in binary and C13 in hexadecimal, which are helpful for computer science applications.
Is 3091 a perfect square, cube, or triangular number?
3091 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3091?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.