3559
3559 is a odd prime number that follows 3558 and precedes 3560. As a prime number, 3559 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3559. 3559 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3559 is represented as 110111100111 in binary and DE7 in hexadecimal. Historically, it is written as MMMDLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
3559 is prime, so its only factors are 1 and 3559.
Divisible by 2
3559 ends in 9, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
3559 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 22 is not a multiple of 9.
Divisible by 10
3559 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 3559 within several notable number theory sequences:
Timeline
Deep dive
How 3559 breaks down
3559 carries 2 distinct factors and a digit signature of 22 (4 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 110111100111 supports bitwise reasoning, hexadecimal DE7 aligns with computing notation, and the Roman numeral MMMDLIX keeps the encyclopedic tradition alive. These attributes make 3559 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3559 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3554–3564) to tune search ranges, and educators feature 3559 in worksheets about prime identification. Its binary footprint of length 12 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 3559 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 3559
Is 3559 a prime number?
3559 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3559?
3559 is already prime, so the factorization is simply 3559.
How is 3559 represented in binary and hexadecimal?
3559 converts to 110111100111 in binary and DE7 in hexadecimal, which are helpful for computer science applications.
Is 3559 a perfect square, cube, or triangular number?
3559 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3559?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.