860
860 is a even composite number that follows 859 and precedes 861. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. Its prime factorization can be written as 2^2 × 5 × 43. 860 is classified as a abundant number based on the sum of its proper divisors. In computer science, 860 is represented as 1101011100 in binary and 35C in hexadecimal. Historically, it is written as DCCCLX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 43) reveals 4 prime building blocks.
Divisible by 2
860 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
860 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 14 is not a multiple of 9.
Divisible by 10
860 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 860 within several notable number theory sequences:
Timeline
Deep dive
How 860 breaks down
860 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 988, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011100 supports bitwise reasoning, hexadecimal 35C aligns with computing notation, and the Roman numeral DCCCLX keeps the encyclopedic tradition alive. These attributes make 860 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 860 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (855–865) to tune search ranges, and educators feature 860 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 860 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 860
Is 860 a prime number?
860 is composite with 12 total factors and the prime factorization 2^2 × 5 × 43.
What is the prime factorization of 860?
It breaks down as 2^2 × 5 × 43, multiplying the primes 2 × 2 × 5 × 43.
How is 860 represented in binary and hexadecimal?
860 converts to 1101011100 in binary and 35C in hexadecimal, which are helpful for computer science applications.
Is 860 a perfect square, cube, or triangular number?
860 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 860?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.