6080
6080 is a even composite number that follows 6079 and precedes 6081. It is composed of 28 distinct factors: 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080. Its prime factorization can be written as 2^6 × 5 × 19. 6080 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6080 is represented as 1011111000000 in binary and 17C0 in hexadecimal.
Factor Analysis
28 FactorsProperties
The prime factorization (2^6 × 5 × 19) reveals 8 prime building blocks.
Divisible by 2
6080 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
6080 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 14 is not a multiple of 9.
Divisible by 10
6080 ends in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Abundant classification and digit analytics place 6080 within several notable number theory sequences:
Timeline
Deep dive
How 6080 breaks down
6080 carries 28 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 9160, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011111000000 supports bitwise reasoning, hexadecimal 17C0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6080 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6080 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6075–6085) to tune search ranges, and educators feature 6080 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 6080 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 6080
Is 6080 a prime number?
6080 is composite with 28 total factors and the prime factorization 2^6 × 5 × 19.
What is the prime factorization of 6080?
It breaks down as 2^6 × 5 × 19, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 5 × 19.
How is 6080 represented in binary and hexadecimal?
6080 converts to 1011111000000 in binary and 17C0 in hexadecimal, which are helpful for computer science applications.
Is 6080 a perfect square, cube, or triangular number?
6080 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6080?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.