559
559 is a odd composite number that follows 558 and precedes 560. It is composed of 4 distinct factors: 1, 13, 43, 559. Its prime factorization can be written as 13 × 43. 559 is classified as a deficient number based on the sum of its proper divisors. In computer science, 559 is represented as 1000101111 in binary and 22F in hexadecimal. Historically, it is written as DLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 43) reveals 2 prime building blocks.
Divisible by 2
559 ends in 9, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
559 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 19 is not a multiple of 9.
Divisible by 10
559 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 559 within several notable number theory sequences:
Timeline
Deep dive
How 559 breaks down
559 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 57, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000101111 supports bitwise reasoning, hexadecimal 22F aligns with computing notation, and the Roman numeral DLIX keeps the encyclopedic tradition alive. These attributes make 559 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 559 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (554–564) to tune search ranges, and educators feature 559 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 559 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 559
Is 559 a prime number?
559 is composite with 4 total factors and the prime factorization 13 × 43.
What is the prime factorization of 559?
It breaks down as 13 × 43, multiplying the primes 13 × 43.
How is 559 represented in binary and hexadecimal?
559 converts to 1000101111 in binary and 22F in hexadecimal, which are helpful for computer science applications.
Is 559 a perfect square, cube, or triangular number?
559 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 559?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.