2480
2480 is a even composite number that follows 2479 and precedes 2481. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480. Its prime factorization can be written as 2^4 × 5 × 31. 2480 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2480 is represented as 100110110000 in binary and 9B0 in hexadecimal. Historically, it is written as MMCDLXXX in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 31) reveals 6 prime building blocks.
Divisible by 2
2480 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
2480 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
2480 ends in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 2480 within several notable number theory sequences:
Timeline
Deep dive
How 2480 breaks down
2480 carries 20 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 3472, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110110000 supports bitwise reasoning, hexadecimal 9B0 aligns with computing notation, and the Roman numeral MMCDLXXX keeps the encyclopedic tradition alive. These attributes make 2480 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2480 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2475–2485) to tune search ranges, and educators feature 2480 in worksheets about factor trees. Its binary footprint of length 12 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 2480 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 2480
Is 2480 a prime number?
2480 is composite with 20 total factors and the prime factorization 2^4 × 5 × 31.
What is the prime factorization of 2480?
It breaks down as 2^4 × 5 × 31, multiplying the primes 2 × 2 × 2 × 2 × 5 × 31.
How is 2480 represented in binary and hexadecimal?
2480 converts to 100110110000 in binary and 9B0 in hexadecimal, which are helpful for computer science applications.
Is 2480 a perfect square, cube, or triangular number?
2480 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2480?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.