6776
6776 is a even composite number that follows 6775 and precedes 6777. It is composed of 24 distinct factors: 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776. Its prime factorization can be written as 2^3 × 7 × 11^2. 6776 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6776 is represented as 1101001111000 in binary and 1A78 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 7 × 11^2) reveals 6 prime building blocks.
Divisible by 2
6776 ends in 6, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
6776 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 26 is not a multiple of 9.
Divisible by 10
6776 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 6776 within several notable number theory sequences:
Timeline
Deep dive
How 6776 breaks down
6776 carries 24 distinct factors and a digit signature of 26 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 9184, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001111000 supports bitwise reasoning, hexadecimal 1A78 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6776 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6776 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6771–6781) to tune search ranges, and educators feature 6776 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 6776 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 6776
Is 6776 a prime number?
6776 is composite with 24 total factors and the prime factorization 2^3 × 7 × 11^2.
What is the prime factorization of 6776?
It breaks down as 2^3 × 7 × 11^2, multiplying the primes 2 × 2 × 2 × 7 × 11 × 11.
How is 6776 represented in binary and hexadecimal?
6776 converts to 1101001111000 in binary and 1A78 in hexadecimal, which are helpful for computer science applications.
Is 6776 a perfect square, cube, or triangular number?
6776 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6776?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.