871
871 is a odd composite number that follows 870 and precedes 872. It is composed of 4 distinct factors: 1, 13, 67, 871. Its prime factorization can be written as 13 × 67. 871 is classified as a deficient number based on the sum of its proper divisors. In computer science, 871 is represented as 1101100111 in binary and 367 in hexadecimal. Historically, it is written as DCCCLXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 67) reveals 2 prime building blocks.
Divisible by 2
871 ends in 1, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
871 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 16 is not a multiple of 9.
Divisible by 10
871 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 871 within several notable number theory sequences:
Timeline
Deep dive
How 871 breaks down
871 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 81, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100111 supports bitwise reasoning, hexadecimal 367 aligns with computing notation, and the Roman numeral DCCCLXXI keeps the encyclopedic tradition alive. These attributes make 871 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 871 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (866–876) to tune search ranges, and educators feature 871 in worksheets about factor trees. Its binary footprint of length 10 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 871 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 871
Is 871 a prime number?
871 is composite with 4 total factors and the prime factorization 13 × 67.
What is the prime factorization of 871?
It breaks down as 13 × 67, multiplying the primes 13 × 67.
How is 871 represented in binary and hexadecimal?
871 converts to 1101100111 in binary and 367 in hexadecimal, which are helpful for computer science applications.
Is 871 a perfect square, cube, or triangular number?
871 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 871?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.