6723
6723 is a odd composite number that follows 6722 and precedes 6724. It is composed of 10 distinct factors: 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723. Its prime factorization can be written as 3^4 × 83. 6723 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6723 is represented as 1101001000011 in binary and 1A43 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (3^4 × 83) reveals 5 prime building blocks.
Divisible by 2
6723 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 23 are not divisible by 4.
Divisible by 5
6723 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 18 is a multiple of 9.
Divisible by 10
6723 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 6723 within several notable number theory sequences:
Timeline
Deep dive
How 6723 breaks down
6723 carries 10 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 3441, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001000011 supports bitwise reasoning, hexadecimal 1A43 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6723 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6723 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6718–6728) to tune search ranges, and educators feature 6723 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 6723 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 6723
Is 6723 a prime number?
6723 is composite with 10 total factors and the prime factorization 3^4 × 83.
What is the prime factorization of 6723?
It breaks down as 3^4 × 83, multiplying the primes 3 × 3 × 3 × 3 × 83.
How is 6723 represented in binary and hexadecimal?
6723 converts to 1101001000011 in binary and 1A43 in hexadecimal, which are helpful for computer science applications.
Is 6723 a perfect square, cube, or triangular number?
6723 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6723?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.