7080
7080 is a even composite number that follows 7079 and precedes 7081. It is composed of 32 distinct factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080. Its prime factorization can be written as 2^3 × 3 × 5 × 59. 7080 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7080 is represented as 1101110101000 in binary and 1BA8 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3 × 5 × 59) reveals 6 prime building blocks.
Divisible by 2
7080 ends in 0, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
7080 ends in 0, so it is divisible by 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 15 is not a multiple of 9.
Divisible by 10
7080 ends in 0.
Divisible by 11
The alternating digit sum 15 is not a multiple of 11.
Abundant classification and digit analytics place 7080 within several notable number theory sequences:
Timeline
Deep dive
How 7080 breaks down
7080 carries 32 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 14520, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101110101000 supports bitwise reasoning, hexadecimal 1BA8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7080 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7080 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7075–7085) to tune search ranges, and educators feature 7080 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 7080 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 7080
Is 7080 a prime number?
7080 is composite with 32 total factors and the prime factorization 2^3 × 3 × 5 × 59.
What is the prime factorization of 7080?
It breaks down as 2^3 × 3 × 5 × 59, multiplying the primes 2 × 2 × 2 × 3 × 5 × 59.
How is 7080 represented in binary and hexadecimal?
7080 converts to 1101110101000 in binary and 1BA8 in hexadecimal, which are helpful for computer science applications.
Is 7080 a perfect square, cube, or triangular number?
7080 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7080?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.