835
835 is a odd composite number that follows 834 and precedes 836. It is composed of 4 distinct factors: 1, 5, 167, 835. Its prime factorization can be written as 5 × 167. 835 is classified as a deficient number based on the sum of its proper divisors. In computer science, 835 is represented as 1101000011 in binary and 343 in hexadecimal. Historically, it is written as DCCCXXXV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 167) reveals 2 prime building blocks.
Divisible by 2
835 ends in 5, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 35 are not divisible by 4.
Divisible by 5
835 ends in 5, 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 16 is not a multiple of 9.
Divisible by 10
835 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 835 within several notable number theory sequences:
Timeline
Deep dive
How 835 breaks down
835 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 173, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000011 supports bitwise reasoning, hexadecimal 343 aligns with computing notation, and the Roman numeral DCCCXXXV keeps the encyclopedic tradition alive. These attributes make 835 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 835 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (830–840) to tune search ranges, and educators feature 835 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 835 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 835
Is 835 a prime number?
835 is composite with 4 total factors and the prime factorization 5 × 167.
What is the prime factorization of 835?
It breaks down as 5 × 167, multiplying the primes 5 × 167.
How is 835 represented in binary and hexadecimal?
835 converts to 1101000011 in binary and 343 in hexadecimal, which are helpful for computer science applications.
Is 835 a perfect square, cube, or triangular number?
835 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 835?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.