6721
6721 is a odd composite number that follows 6720 and precedes 6722. It is composed of 8 distinct factors: 1, 11, 13, 47, 143, 517, 611, 6721. Its prime factorization can be written as 11 × 13 × 47. 6721 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6721 is represented as 1101001000001 in binary and 1A41 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (11 × 13 × 47) reveals 3 prime building blocks.
Divisible by 2
6721 ends in 1, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
6721 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 16 is not a multiple of 9.
Divisible by 10
6721 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 6721 within several notable number theory sequences:
Timeline
Deep dive
How 6721 breaks down
6721 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1343, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001000001 supports bitwise reasoning, hexadecimal 1A41 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6721 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6721 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6716–6726) to tune search ranges, and educators feature 6721 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 6721 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 6721
Is 6721 a prime number?
6721 is composite with 8 total factors and the prime factorization 11 × 13 × 47.
What is the prime factorization of 6721?
It breaks down as 11 × 13 × 47, multiplying the primes 11 × 13 × 47.
How is 6721 represented in binary and hexadecimal?
6721 converts to 1101001000001 in binary and 1A41 in hexadecimal, which are helpful for computer science applications.
Is 6721 a perfect square, cube, or triangular number?
6721 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6721?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.