6774
6774 is a even composite number that follows 6773 and precedes 6775. It is composed of 8 distinct factors: 1, 2, 3, 6, 1129, 2258, 3387, 6774. Its prime factorization can be written as 2 × 3 × 1129. 6774 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6774 is represented as 1101001110110 in binary and 1A76 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 1129) reveals 3 prime building blocks.
Divisible by 2
6774 ends in 4, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
6774 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
6774 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 6774 within several notable number theory sequences:
Timeline
Deep dive
How 6774 breaks down
6774 carries 8 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 6786, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001110110 supports bitwise reasoning, hexadecimal 1A76 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6774 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6774 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6769–6779) to tune search ranges, and educators feature 6774 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 6774 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 6774
Is 6774 a prime number?
6774 is composite with 8 total factors and the prime factorization 2 × 3 × 1129.
What is the prime factorization of 6774?
It breaks down as 2 × 3 × 1129, multiplying the primes 2 × 3 × 1129.
How is 6774 represented in binary and hexadecimal?
6774 converts to 1101001110110 in binary and 1A76 in hexadecimal, which are helpful for computer science applications.
Is 6774 a perfect square, cube, or triangular number?
6774 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6774?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.