671
671 is a odd composite number that follows 670 and precedes 672. It is composed of 4 distinct factors: 1, 11, 61, 671. Its prime factorization can be written as 11 × 61. 671 is classified as a deficient number based on the sum of its proper divisors. In computer science, 671 is represented as 1010011111 in binary and 29F in hexadecimal. Historically, it is written as DCLXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 61) reveals 2 prime building blocks.
Divisible by 2
671 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 71 are not divisible by 4.
Divisible by 5
671 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
671 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 671 within several notable number theory sequences:
Timeline
Deep dive
How 671 breaks down
671 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 73, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011111 supports bitwise reasoning, hexadecimal 29F aligns with computing notation, and the Roman numeral DCLXXI keeps the encyclopedic tradition alive. These attributes make 671 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 671 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (666–676) to tune search ranges, and educators feature 671 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 671 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 671
Is 671 a prime number?
671 is composite with 4 total factors and the prime factorization 11 × 61.
What is the prime factorization of 671?
It breaks down as 11 × 61, multiplying the primes 11 × 61.
How is 671 represented in binary and hexadecimal?
671 converts to 1010011111 in binary and 29F in hexadecimal, which are helpful for computer science applications.
Is 671 a perfect square, cube, or triangular number?
671 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 671?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.