4880
4880 is a even composite number that follows 4879 and precedes 4881. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880. Its prime factorization can be written as 2^4 × 5 × 61. 4880 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4880 is represented as 1001100010000 in binary and 1310 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 61) reveals 6 prime building blocks.
Divisible by 2
4880 ends in 0, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
4880 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 20 is not a multiple of 9.
Divisible by 10
4880 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 4880 within several notable number theory sequences:
Timeline
Deep dive
How 4880 breaks down
4880 carries 20 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 6652, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001100010000 supports bitwise reasoning, hexadecimal 1310 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4880 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4880 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4875–4885) to tune search ranges, and educators feature 4880 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 4880 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 4880
Is 4880 a prime number?
4880 is composite with 20 total factors and the prime factorization 2^4 × 5 × 61.
What is the prime factorization of 4880?
It breaks down as 2^4 × 5 × 61, multiplying the primes 2 × 2 × 2 × 2 × 5 × 61.
How is 4880 represented in binary and hexadecimal?
4880 converts to 1001100010000 in binary and 1310 in hexadecimal, which are helpful for computer science applications.
Is 4880 a perfect square, cube, or triangular number?
4880 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4880?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.