1091
1091 is a odd prime number that follows 1090 and precedes 1092. As a prime number, 1091 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1091. 1091 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1091 is represented as 10001000011 in binary and 443 in hexadecimal. Historically, it is written as MXCI in Roman numerals.
Factor Analysis
2 FactorsProperties
1091 is prime, so its only factors are 1 and 1091.
Divisible by 2
1091 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
1091 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 11 is not a multiple of 9.
Divisible by 10
1091 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 1091 within several notable number theory sequences:
Timeline
Deep dive
How 1091 breaks down
1091 carries 2 distinct factors and a digit signature of 11 (2 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 10001000011 supports bitwise reasoning, hexadecimal 443 aligns with computing notation, and the Roman numeral MXCI keeps the encyclopedic tradition alive. These attributes make 1091 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1091 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1086–1096) to tune search ranges, and educators feature 1091 in worksheets about prime identification. Its binary footprint of length 11 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 1091 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 1091
Is 1091 a prime number?
1091 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1091?
1091 is already prime, so the factorization is simply 1091.
How is 1091 represented in binary and hexadecimal?
1091 converts to 10001000011 in binary and 443 in hexadecimal, which are helpful for computer science applications.
Is 1091 a perfect square, cube, or triangular number?
1091 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1091?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.