584
584 is a even composite number that follows 583 and precedes 585. It is composed of 8 distinct factors: 1, 2, 4, 8, 73, 146, 292, 584. Its prime factorization can be written as 2^3 × 73. 584 is classified as a deficient number based on the sum of its proper divisors. In computer science, 584 is represented as 1001001000 in binary and 248 in hexadecimal. Historically, it is written as DLXXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 73) reveals 4 prime building blocks.
Divisible by 2
584 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
584 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 17 is not a multiple of 9.
Divisible by 10
584 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 584 within several notable number theory sequences:
Timeline
Deep dive
How 584 breaks down
584 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 526, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001000 supports bitwise reasoning, hexadecimal 248 aligns with computing notation, and the Roman numeral DLXXXIV keeps the encyclopedic tradition alive. These attributes make 584 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 584 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (579–589) to tune search ranges, and educators feature 584 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 584 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 584
Is 584 a prime number?
584 is composite with 8 total factors and the prime factorization 2^3 × 73.
What is the prime factorization of 584?
It breaks down as 2^3 × 73, multiplying the primes 2 × 2 × 2 × 73.
How is 584 represented in binary and hexadecimal?
584 converts to 1001001000 in binary and 248 in hexadecimal, which are helpful for computer science applications.
Is 584 a perfect square, cube, or triangular number?
584 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 584?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.