859
859 is a odd prime number that follows 858 and precedes 860. As a prime number, 859 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 859. 859 is classified as a deficient number based on the sum of its proper divisors. In computer science, 859 is represented as 1101011011 in binary and 35B in hexadecimal. Historically, it is written as DCCCLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
859 is prime, so its only factors are 1 and 859.
Divisible by 2
859 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
859 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
859 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 859 within several notable number theory sequences:
Timeline
Deep dive
How 859 breaks down
859 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 1101011011 supports bitwise reasoning, hexadecimal 35B aligns with computing notation, and the Roman numeral DCCCLIX keeps the encyclopedic tradition alive. These attributes make 859 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 859 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (854–864) to tune search ranges, and educators feature 859 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 859 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 859
Is 859 a prime number?
859 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 859?
859 is already prime, so the factorization is simply 859.
How is 859 represented in binary and hexadecimal?
859 converts to 1101011011 in binary and 35B in hexadecimal, which are helpful for computer science applications.
Is 859 a perfect square, cube, or triangular number?
859 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 859?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.