1171
1171 is a odd prime number that follows 1170 and precedes 1172. As a prime number, 1171 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1171. 1171 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1171 is represented as 10010010011 in binary and 493 in hexadecimal. Historically, it is written as MCLXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
1171 is prime, so its only factors are 1 and 1171.
Divisible by 2
1171 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
1171 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 10 is not a multiple of 9.
Divisible by 10
1171 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 1171 within several notable number theory sequences:
Timeline
Deep dive
How 1171 breaks down
1171 carries 2 distinct factors and a digit signature of 10 (1 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 10010010011 supports bitwise reasoning, hexadecimal 493 aligns with computing notation, and the Roman numeral MCLXXI keeps the encyclopedic tradition alive. These attributes make 1171 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1171 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1166–1176) to tune search ranges, and educators feature 1171 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 1171 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 1171
Is 1171 a prime number?
1171 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1171?
1171 is already prime, so the factorization is simply 1171.
How is 1171 represented in binary and hexadecimal?
1171 converts to 10010010011 in binary and 493 in hexadecimal, which are helpful for computer science applications.
Is 1171 a perfect square, cube, or triangular number?
1171 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1171?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.