6672
6672 is a even composite number that follows 6671 and precedes 6673. It is composed of 20 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 6672. Its prime factorization can be written as 2^4 × 3 × 139. 6672 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6672 is represented as 1101000010000 in binary and 1A10 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 3 × 139) reveals 6 prime building blocks.
Divisible by 2
6672 ends in 2, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
6672 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
6672 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 6672 within several notable number theory sequences:
Timeline
Deep dive
How 6672 breaks down
6672 carries 20 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 10688, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000010000 supports bitwise reasoning, hexadecimal 1A10 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6672 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6672 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6667–6677) to tune search ranges, and educators feature 6672 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, Abundant numbers) help historians, numerologists, and trivia writers tie 6672 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 6672
Is 6672 a prime number?
6672 is composite with 20 total factors and the prime factorization 2^4 × 3 × 139.
What is the prime factorization of 6672?
It breaks down as 2^4 × 3 × 139, multiplying the primes 2 × 2 × 2 × 2 × 3 × 139.
How is 6672 represented in binary and hexadecimal?
6672 converts to 1101000010000 in binary and 1A10 in hexadecimal, which are helpful for computer science applications.
Is 6672 a perfect square, cube, or triangular number?
6672 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6672?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.