55080
55080 is a even composite number that follows 55079 and precedes 55081. It is composed of 80 distinct factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 51, 54, 60, 68, 72, 81, 85, 90, 102, 108, 120, 135, 136, 153, 162, 170, 180, 204, 216, 255, 270, 306, 324, 340, 360, 405, 408, 459, 510, 540, 612, 648, 680, 765, 810, 918, 1020, 1080, 1224, 1377, 1530, 1620, 1836, 2040, 2295, 2754, 3060, 3240, 3672, 4590, 5508, 6120, 6885, 9180, 11016, 13770, 18360, 27540, 55080. Its prime factorization can be written as 2^3 × 3^4 × 5 × 17. 55080 is classified as a abundant number based on the sum of its proper divisors. In computer science, 55080 is represented as 1101011100101000 in binary and D728 in hexadecimal.
Factor Analysis
80 FactorsProperties
The prime factorization (2^3 × 3^4 × 5 × 17) reveals 9 prime building blocks.
Divisible by 2
55080 ends in 0, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
55080 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 18 is a multiple of 9.
Divisible by 10
55080 ends in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 55080 within several notable number theory sequences:
Timeline
Deep dive
How 55080 breaks down
55080 carries 80 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 140940, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011100101000 supports bitwise reasoning, hexadecimal D728 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55080 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55080 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55075–55085) to tune search ranges, and educators feature 55080 in worksheets about factor trees. Its binary footprint of length 16 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 55080 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 55080
Is 55080 a prime number?
55080 is composite with 80 total factors and the prime factorization 2^3 × 3^4 × 5 × 17.
What is the prime factorization of 55080?
It breaks down as 2^3 × 3^4 × 5 × 17, multiplying the primes 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17.
How is 55080 represented in binary and hexadecimal?
55080 converts to 1101011100101000 in binary and D728 in hexadecimal, which are helpful for computer science applications.
Is 55080 a perfect square, cube, or triangular number?
55080 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55080?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.