6888
6888 is a even composite number that follows 6887 and precedes 6889. It is composed of 32 distinct factors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888. Its prime factorization can be written as 2^3 × 3 × 7 × 41. 6888 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6888 is represented as 1101011101000 in binary and 1AE8 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3 × 7 × 41) reveals 6 prime building blocks.
Divisible by 2
6888 ends in 8, so it is even.
Divisible by 3
The digit sum 30 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
6888 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 30 is not a multiple of 9.
Divisible by 10
6888 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 6888 within several notable number theory sequences:
Timeline
Deep dive
How 6888 breaks down
6888 carries 32 distinct factors and a digit signature of 30 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 13272, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011101000 supports bitwise reasoning, hexadecimal 1AE8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6888 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6888 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6883–6893) to tune search ranges, and educators feature 6888 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 6888 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 6888
Is 6888 a prime number?
6888 is composite with 32 total factors and the prime factorization 2^3 × 3 × 7 × 41.
What is the prime factorization of 6888?
It breaks down as 2^3 × 3 × 7 × 41, multiplying the primes 2 × 2 × 2 × 3 × 7 × 41.
How is 6888 represented in binary and hexadecimal?
6888 converts to 1101011101000 in binary and 1AE8 in hexadecimal, which are helpful for computer science applications.
Is 6888 a perfect square, cube, or triangular number?
6888 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6888?
The digits sum to 30, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.