6828
6828 is a even composite number that follows 6827 and precedes 6829. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828. Its prime factorization can be written as 2^2 × 3 × 569. 6828 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6828 is represented as 1101010101100 in binary and 1AAC in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 569) reveals 4 prime building blocks.
Divisible by 2
6828 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
6828 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 24 is not a multiple of 9.
Divisible by 10
6828 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 6828 within several notable number theory sequences:
Timeline
Deep dive
How 6828 breaks down
6828 carries 12 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 9132, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101010101100 supports bitwise reasoning, hexadecimal 1AAC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6828 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6828 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6823–6833) to tune search ranges, and educators feature 6828 in worksheets about factor trees. Its binary footprint of length 13 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 6828 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 6828
Is 6828 a prime number?
6828 is composite with 12 total factors and the prime factorization 2^2 × 3 × 569.
What is the prime factorization of 6828?
It breaks down as 2^2 × 3 × 569, multiplying the primes 2 × 2 × 3 × 569.
How is 6828 represented in binary and hexadecimal?
6828 converts to 1101010101100 in binary and 1AAC in hexadecimal, which are helpful for computer science applications.
Is 6828 a perfect square, cube, or triangular number?
6828 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6828?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.