832
832 is a even composite number that follows 831 and precedes 833. It is composed of 14 distinct factors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. Its prime factorization can be written as 2^6 × 13. 832 is classified as a abundant number based on the sum of its proper divisors. In computer science, 832 is represented as 1101000000 in binary and 340 in hexadecimal. Historically, it is written as DCCCXXXII in Roman numerals.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 13) reveals 7 prime building blocks.
Divisible by 2
832 ends in 2, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 32 form a multiple of 4.
Divisible by 5
832 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 13 is not a multiple of 9.
Divisible by 10
832 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 832 within several notable number theory sequences:
Timeline
Deep dive
How 832 breaks down
832 carries 14 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 946, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000000 supports bitwise reasoning, hexadecimal 340 aligns with computing notation, and the Roman numeral DCCCXXXII keeps the encyclopedic tradition alive. These attributes make 832 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 832 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (827–837) to tune search ranges, and educators feature 832 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 832 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 832
Is 832 a prime number?
832 is composite with 14 total factors and the prime factorization 2^6 × 13.
What is the prime factorization of 832?
It breaks down as 2^6 × 13, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 13.
How is 832 represented in binary and hexadecimal?
832 converts to 1101000000 in binary and 340 in hexadecimal, which are helpful for computer science applications.
Is 832 a perfect square, cube, or triangular number?
832 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 832?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.