6443
6443 is a odd composite number that follows 6442 and precedes 6444. It is composed of 4 distinct factors: 1, 17, 379, 6443. Its prime factorization can be written as 17 × 379. 6443 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6443 is represented as 1100100101011 in binary and 192B in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 379) reveals 2 prime building blocks.
Divisible by 2
6443 ends in 3, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
6443 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 17 is not a multiple of 9.
Divisible by 10
6443 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 6443 within several notable number theory sequences:
Timeline
Deep dive
How 6443 breaks down
6443 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 397, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100100101011 supports bitwise reasoning, hexadecimal 192B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6443 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6443 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6438–6448) to tune search ranges, and educators feature 6443 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 6443 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 6443
Is 6443 a prime number?
6443 is composite with 4 total factors and the prime factorization 17 × 379.
What is the prime factorization of 6443?
It breaks down as 17 × 379, multiplying the primes 17 × 379.
How is 6443 represented in binary and hexadecimal?
6443 converts to 1100100101011 in binary and 192B in hexadecimal, which are helpful for computer science applications.
Is 6443 a perfect square, cube, or triangular number?
6443 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6443?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.