834
834 is a even composite number that follows 833 and precedes 835. It is composed of 8 distinct factors: 1, 2, 3, 6, 139, 278, 417, 834. Its prime factorization can be written as 2 × 3 × 139. 834 is classified as a abundant number based on the sum of its proper divisors. In computer science, 834 is represented as 1101000010 in binary and 342 in hexadecimal. Historically, it is written as DCCCXXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 139) reveals 3 prime building blocks.
Divisible by 2
834 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 34 are not divisible by 4.
Divisible by 5
834 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
834 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 834 within several notable number theory sequences:
Timeline
Deep dive
How 834 breaks down
834 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 846, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000010 supports bitwise reasoning, hexadecimal 342 aligns with computing notation, and the Roman numeral DCCCXXXIV keeps the encyclopedic tradition alive. These attributes make 834 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 834 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (829–839) to tune search ranges, and educators feature 834 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 834 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 834
Is 834 a prime number?
834 is composite with 8 total factors and the prime factorization 2 × 3 × 139.
What is the prime factorization of 834?
It breaks down as 2 × 3 × 139, multiplying the primes 2 × 3 × 139.
How is 834 represented in binary and hexadecimal?
834 converts to 1101000010 in binary and 342 in hexadecimal, which are helpful for computer science applications.
Is 834 a perfect square, cube, or triangular number?
834 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 834?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.