5480
5480 is a even composite number that follows 5479 and precedes 5481. It is composed of 16 distinct factors: 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480. Its prime factorization can be written as 2^3 × 5 × 137. 5480 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5480 is represented as 1010101101000 in binary and 1568 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 5 × 137) reveals 5 prime building blocks.
Divisible by 2
5480 ends in 0, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
5480 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 17 is not a multiple of 9.
Divisible by 10
5480 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 5480 within several notable number theory sequences:
Timeline
Deep dive
How 5480 breaks down
5480 carries 16 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 6940, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010101101000 supports bitwise reasoning, hexadecimal 1568 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5480 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5480 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5475–5485) to tune search ranges, and educators feature 5480 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 5480 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 5480
Is 5480 a prime number?
5480 is composite with 16 total factors and the prime factorization 2^3 × 5 × 137.
What is the prime factorization of 5480?
It breaks down as 2^3 × 5 × 137, multiplying the primes 2 × 2 × 2 × 5 × 137.
How is 5480 represented in binary and hexadecimal?
5480 converts to 1010101101000 in binary and 1568 in hexadecimal, which are helpful for computer science applications.
Is 5480 a perfect square, cube, or triangular number?
5480 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5480?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.