6825
6825 is a odd composite number that follows 6824 and precedes 6826. It is composed of 24 distinct factors: 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825. Its prime factorization can be written as 3 × 5^2 × 7 × 13. 6825 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6825 is represented as 1101010101001 in binary and 1AA9 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (3 × 5^2 × 7 × 13) reveals 5 prime building blocks.
Divisible by 2
6825 ends in 5, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
6825 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 21 is not a multiple of 9.
Divisible by 10
6825 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 6825 within several notable number theory sequences:
Timeline
Deep dive
How 6825 breaks down
6825 carries 24 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 7063, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101010101001 supports bitwise reasoning, hexadecimal 1AA9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6825 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6825 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6820–6830) to tune search ranges, and educators feature 6825 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 6825 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 6825
Is 6825 a prime number?
6825 is composite with 24 total factors and the prime factorization 3 × 5^2 × 7 × 13.
What is the prime factorization of 6825?
It breaks down as 3 × 5^2 × 7 × 13, multiplying the primes 3 × 5 × 5 × 7 × 13.
How is 6825 represented in binary and hexadecimal?
6825 converts to 1101010101001 in binary and 1AA9 in hexadecimal, which are helpful for computer science applications.
Is 6825 a perfect square, cube, or triangular number?
6825 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6825?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.