6724
6724 is a even composite number that follows 6723 and precedes 6725. It is composed of 9 distinct factors: 1, 2, 4, 41, 82, 164, 1681, 3362, 6724. Its prime factorization can be written as 2^2 × 41^2. 6724 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6724 is represented as 1101001000100 in binary and 1A44 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (2^2 × 41^2) reveals 4 prime building blocks.
Divisible by 2
6724 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
6724 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 19 is not a multiple of 9.
Divisible by 10
6724 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 6724 within several notable number theory sequences:
Timeline
Deep dive
How 6724 breaks down
6724 carries 9 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 5337, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001000100 supports bitwise reasoning, hexadecimal 1A44 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6724 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6724 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6719–6729) to tune search ranges, and educators feature 6724 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, Perfect squares) help historians, numerologists, and trivia writers tie 6724 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 6724
Is 6724 a prime number?
6724 is composite with 9 total factors and the prime factorization 2^2 × 41^2.
What is the prime factorization of 6724?
It breaks down as 2^2 × 41^2, multiplying the primes 2 × 2 × 41 × 41.
How is 6724 represented in binary and hexadecimal?
6724 converts to 1101001000100 in binary and 1A44 in hexadecimal, which are helpful for computer science applications.
Is 6724 a perfect square, cube, or triangular number?
6724 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6724?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.