856
856 is a even composite number that follows 855 and precedes 857. It is composed of 8 distinct factors: 1, 2, 4, 8, 107, 214, 428, 856. Its prime factorization can be written as 2^3 × 107. 856 is classified as a deficient number based on the sum of its proper divisors. In computer science, 856 is represented as 1101011000 in binary and 358 in hexadecimal. Historically, it is written as DCCCLVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 107) reveals 4 prime building blocks.
Divisible by 2
856 ends in 6, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 56 form a multiple of 4.
Divisible by 5
856 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
856 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 856 within several notable number theory sequences:
Timeline
Deep dive
How 856 breaks down
856 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 764, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011000 supports bitwise reasoning, hexadecimal 358 aligns with computing notation, and the Roman numeral DCCCLVI keeps the encyclopedic tradition alive. These attributes make 856 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 856 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (851–861) to tune search ranges, and educators feature 856 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 856 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 856
Is 856 a prime number?
856 is composite with 8 total factors and the prime factorization 2^3 × 107.
What is the prime factorization of 856?
It breaks down as 2^3 × 107, multiplying the primes 2 × 2 × 2 × 107.
How is 856 represented in binary and hexadecimal?
856 converts to 1101011000 in binary and 358 in hexadecimal, which are helpful for computer science applications.
Is 856 a perfect square, cube, or triangular number?
856 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 856?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.