3080
3080 is a even composite number that follows 3079 and precedes 3081. It is composed of 32 distinct factors: 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080. Its prime factorization can be written as 2^3 × 5 × 7 × 11. 3080 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3080 is represented as 110000001000 in binary and C08 in hexadecimal. Historically, it is written as MMMLXXX in Roman numerals.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 5 × 7 × 11) reveals 6 prime building blocks.
Divisible by 2
3080 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
3080 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 11 is not a multiple of 9.
Divisible by 10
3080 ends in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 3080 within several notable number theory sequences:
Timeline
Deep dive
How 3080 breaks down
3080 carries 32 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 5560, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000001000 supports bitwise reasoning, hexadecimal C08 aligns with computing notation, and the Roman numeral MMMLXXX keeps the encyclopedic tradition alive. These attributes make 3080 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3080 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3075–3085) to tune search ranges, and educators feature 3080 in worksheets about factor trees. Its binary footprint of length 12 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 3080 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 3080
Is 3080 a prime number?
3080 is composite with 32 total factors and the prime factorization 2^3 × 5 × 7 × 11.
What is the prime factorization of 3080?
It breaks down as 2^3 × 5 × 7 × 11, multiplying the primes 2 × 2 × 2 × 5 × 7 × 11.
How is 3080 represented in binary and hexadecimal?
3080 converts to 110000001000 in binary and C08 in hexadecimal, which are helpful for computer science applications.
Is 3080 a perfect square, cube, or triangular number?
3080 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3080?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.