5180
5180 is a even composite number that follows 5179 and precedes 5181. It is composed of 24 distinct factors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180. Its prime factorization can be written as 2^2 × 5 × 7 × 37. 5180 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5180 is represented as 1010000111100 in binary and 143C in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5 × 7 × 37) reveals 5 prime building blocks.
Divisible by 2
5180 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
5180 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
5180 ends in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Abundant classification and digit analytics place 5180 within several notable number theory sequences:
Timeline
Deep dive
How 5180 breaks down
5180 carries 24 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 7588, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010000111100 supports bitwise reasoning, hexadecimal 143C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5180 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5180 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5175–5185) to tune search ranges, and educators feature 5180 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 5180 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 5180
Is 5180 a prime number?
5180 is composite with 24 total factors and the prime factorization 2^2 × 5 × 7 × 37.
What is the prime factorization of 5180?
It breaks down as 2^2 × 5 × 7 × 37, multiplying the primes 2 × 2 × 5 × 7 × 37.
How is 5180 represented in binary and hexadecimal?
5180 converts to 1010000111100 in binary and 143C in hexadecimal, which are helpful for computer science applications.
Is 5180 a perfect square, cube, or triangular number?
5180 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5180?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.