6765
6765 is a odd composite number that follows 6764 and precedes 6766. It is composed of 16 distinct factors: 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765. Its prime factorization can be written as 3 × 5 × 11 × 41. 6765 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6765 is represented as 1101001101101 in binary and 1A6D in hexadecimal. It also belongs to the Fibonacci number sequence.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 5 × 11 × 41) reveals 4 prime building blocks.
Divisible by 2
6765 ends in 5, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 65 are not divisible by 4.
Divisible by 5
6765 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 24 is not a multiple of 9.
Divisible by 10
6765 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 6765 within several notable number theory sequences:
Timeline
Deep dive
How 6765 breaks down
6765 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 5331, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001101101 supports bitwise reasoning, hexadecimal 1A6D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6765 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6765 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6760–6770) to tune search ranges, and educators feature 6765 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, Deficient numbers, Fibonacci numbers) help historians, numerologists, and trivia writers tie 6765 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 6765
Is 6765 a prime number?
6765 is composite with 16 total factors and the prime factorization 3 × 5 × 11 × 41.
What is the prime factorization of 6765?
It breaks down as 3 × 5 × 11 × 41, multiplying the primes 3 × 5 × 11 × 41.
How is 6765 represented in binary and hexadecimal?
6765 converts to 1101001101101 in binary and 1A6D in hexadecimal, which are helpful for computer science applications.
Is 6765 a perfect square, cube, or triangular number?
6765 is not a perfect square, is not a perfect cube, and is not triangular. It also belongs to the Fibonacci sequence.
What are the digit sum and digital root of 6765?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.