6743
6743 is a odd composite number that follows 6742 and precedes 6744. It is composed of 4 distinct factors: 1, 11, 613, 6743. Its prime factorization can be written as 11 × 613. 6743 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6743 is represented as 1101001010111 in binary and 1A57 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 613) reveals 2 prime building blocks.
Divisible by 2
6743 ends in 3, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
6743 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 20 is not a multiple of 9.
Divisible by 10
6743 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 6743 within several notable number theory sequences:
Timeline
Deep dive
How 6743 breaks down
6743 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 625, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001010111 supports bitwise reasoning, hexadecimal 1A57 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6743 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6743 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6738–6748) to tune search ranges, and educators feature 6743 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) help historians, numerologists, and trivia writers tie 6743 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 6743
Is 6743 a prime number?
6743 is composite with 4 total factors and the prime factorization 11 × 613.
What is the prime factorization of 6743?
It breaks down as 11 × 613, multiplying the primes 11 × 613.
How is 6743 represented in binary and hexadecimal?
6743 converts to 1101001010111 in binary and 1A57 in hexadecimal, which are helpful for computer science applications.
Is 6743 a perfect square, cube, or triangular number?
6743 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6743?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.