55180
55180 is a even composite number that follows 55179 and precedes 55181. It is composed of 24 distinct factors: 1, 2, 4, 5, 10, 20, 31, 62, 89, 124, 155, 178, 310, 356, 445, 620, 890, 1780, 2759, 5518, 11036, 13795, 27590, 55180. Its prime factorization can be written as 2^2 × 5 × 31 × 89. 55180 is classified as a abundant number based on the sum of its proper divisors. In computer science, 55180 is represented as 1101011110001100 in binary and D78C in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5 × 31 × 89) reveals 5 prime building blocks.
Divisible by 2
55180 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
55180 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 19 is not a multiple of 9.
Divisible by 10
55180 ends in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 55180 within several notable number theory sequences:
Timeline
Deep dive
How 55180 breaks down
55180 carries 24 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 65780, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011110001100 supports bitwise reasoning, hexadecimal D78C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55180 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55180 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55175–55185) to tune search ranges, and educators feature 55180 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 55180 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 55180
Is 55180 a prime number?
55180 is composite with 24 total factors and the prime factorization 2^2 × 5 × 31 × 89.
What is the prime factorization of 55180?
It breaks down as 2^2 × 5 × 31 × 89, multiplying the primes 2 × 2 × 5 × 31 × 89.
How is 55180 represented in binary and hexadecimal?
55180 converts to 1101011110001100 in binary and D78C in hexadecimal, which are helpful for computer science applications.
Is 55180 a perfect square, cube, or triangular number?
55180 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55180?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.