560
560 is a even composite number that follows 559 and precedes 561. It is composed of 20 distinct factors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. Its prime factorization can be written as 2^4 × 5 × 7. 560 is classified as a abundant number based on the sum of its proper divisors. In computer science, 560 is represented as 1000110000 in binary and 230 in hexadecimal. Historically, it is written as DLX in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 7) reveals 6 prime building blocks.
Divisible by 2
560 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
560 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
560 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 560 within several notable number theory sequences:
Timeline
Deep dive
How 560 breaks down
560 carries 20 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 928, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000110000 supports bitwise reasoning, hexadecimal 230 aligns with computing notation, and the Roman numeral DLX keeps the encyclopedic tradition alive. These attributes make 560 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 560 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (555–565) to tune search ranges, and educators feature 560 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, Abundant numbers) help historians, numerologists, and trivia writers tie 560 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 560
Is 560 a prime number?
560 is composite with 20 total factors and the prime factorization 2^4 × 5 × 7.
What is the prime factorization of 560?
It breaks down as 2^4 × 5 × 7, multiplying the primes 2 × 2 × 2 × 2 × 5 × 7.
How is 560 represented in binary and hexadecimal?
560 converts to 1000110000 in binary and 230 in hexadecimal, which are helpful for computer science applications.
Is 560 a perfect square, cube, or triangular number?
560 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 560?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.