587
587 is a odd prime number that follows 586 and precedes 588. As a prime number, 587 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 587. 587 is classified as a deficient number based on the sum of its proper divisors. In computer science, 587 is represented as 1001001011 in binary and 24B in hexadecimal. Historically, it is written as DLXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
587 is prime, so its only factors are 1 and 587.
Divisible by 2
587 ends in 7, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
587 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 20 is not a multiple of 9.
Divisible by 10
587 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 587 within several notable number theory sequences:
Timeline
Deep dive
How 587 breaks down
587 carries 2 distinct factors and a digit signature of 20 (2 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 1001001011 supports bitwise reasoning, hexadecimal 24B aligns with computing notation, and the Roman numeral DLXXXVII keeps the encyclopedic tradition alive. These attributes make 587 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 587 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (582–592) to tune search ranges, and educators feature 587 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 587 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 587
Is 587 a prime number?
587 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 587?
587 is already prime, so the factorization is simply 587.
How is 587 represented in binary and hexadecimal?
587 converts to 1001001011 in binary and 24B in hexadecimal, which are helpful for computer science applications.
Is 587 a perfect square, cube, or triangular number?
587 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 587?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.