567
567 is a odd composite number that follows 566 and precedes 568. It is composed of 10 distinct factors: 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. Its prime factorization can be written as 3^4 × 7. 567 is classified as a deficient number based on the sum of its proper divisors. In computer science, 567 is represented as 1000110111 in binary and 237 in hexadecimal. Historically, it is written as DLXVII in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (3^4 × 7) reveals 5 prime building blocks.
Divisible by 2
567 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
567 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 18 is a multiple of 9.
Divisible by 10
567 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 567 within several notable number theory sequences:
Timeline
Deep dive
How 567 breaks down
567 carries 10 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 401, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000110111 supports bitwise reasoning, hexadecimal 237 aligns with computing notation, and the Roman numeral DLXVII keeps the encyclopedic tradition alive. These attributes make 567 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 567 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (562–572) to tune search ranges, and educators feature 567 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 567 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 567
Is 567 a prime number?
567 is composite with 10 total factors and the prime factorization 3^4 × 7.
What is the prime factorization of 567?
It breaks down as 3^4 × 7, multiplying the primes 3 × 3 × 3 × 3 × 7.
How is 567 represented in binary and hexadecimal?
567 converts to 1000110111 in binary and 237 in hexadecimal, which are helpful for computer science applications.
Is 567 a perfect square, cube, or triangular number?
567 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 567?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.