6728
6728 is a even composite number that follows 6727 and precedes 6729. It is composed of 12 distinct factors: 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728. Its prime factorization can be written as 2^3 × 29^2. 6728 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6728 is represented as 1101001001000 in binary and 1A48 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^3 × 29^2) reveals 5 prime building blocks.
Divisible by 2
6728 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
6728 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 23 is not a multiple of 9.
Divisible by 10
6728 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 6728 within several notable number theory sequences:
Timeline
Deep dive
How 6728 breaks down
6728 carries 12 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 6337, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001001000 supports bitwise reasoning, hexadecimal 1A48 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6728 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6728 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6723–6733) to tune search ranges, and educators feature 6728 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 6728 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 6728
Is 6728 a prime number?
6728 is composite with 12 total factors and the prime factorization 2^3 × 29^2.
What is the prime factorization of 6728?
It breaks down as 2^3 × 29^2, multiplying the primes 2 × 2 × 2 × 29 × 29.
How is 6728 represented in binary and hexadecimal?
6728 converts to 1101001001000 in binary and 1A48 in hexadecimal, which are helpful for computer science applications.
Is 6728 a perfect square, cube, or triangular number?
6728 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6728?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.