271
271 is a odd prime number that follows 270 and precedes 272. As a prime number, 271 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 271. 271 is classified as a deficient number based on the sum of its proper divisors. In computer science, 271 is represented as 100001111 in binary and 10F in hexadecimal. Historically, it is written as CCLXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
271 is prime, so its only factors are 1 and 271.
Divisible by 2
271 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
271 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
271 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 271 within several notable number theory sequences:
Timeline
Deep dive
How 271 breaks down
271 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 100001111 supports bitwise reasoning, hexadecimal 10F aligns with computing notation, and the Roman numeral CCLXXI keeps the encyclopedic tradition alive. These attributes make 271 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 271 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (266–276) to tune search ranges, and educators feature 271 in worksheets about prime identification. Its binary footprint of length 9 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 271 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 271
Is 271 a prime number?
271 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 271?
271 is already prime, so the factorization is simply 271.
How is 271 represented in binary and hexadecimal?
271 converts to 100001111 in binary and 10F in hexadecimal, which are helpful for computer science applications.
Is 271 a perfect square, cube, or triangular number?
271 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 271?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.