4091
4091 is a odd prime number that follows 4090 and precedes 4092. As a prime number, 4091 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4091. 4091 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4091 is represented as 111111111011 in binary and FFB in hexadecimal.
Factor Analysis
2 FactorsProperties
4091 is prime, so its only factors are 1 and 4091.
Divisible by 2
4091 ends in 1, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
4091 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 14 is not a multiple of 9.
Divisible by 10
4091 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 4091 within several notable number theory sequences:
Timeline
Deep dive
How 4091 breaks down
4091 carries 2 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111111011 supports bitwise reasoning, hexadecimal FFB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4091 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4091 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4086–4096) to tune search ranges, and educators feature 4091 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4091 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 4091
Is 4091 a prime number?
4091 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4091?
4091 is already prime, so the factorization is simply 4091.
How is 4091 represented in binary and hexadecimal?
4091 converts to 111111111011 in binary and FFB in hexadecimal, which are helpful for computer science applications.
Is 4091 a perfect square, cube, or triangular number?
4091 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4091?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.