4280
4280 is a even composite number that follows 4279 and precedes 4281. It is composed of 16 distinct factors: 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280. Its prime factorization can be written as 2^3 × 5 × 107. 4280 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4280 is represented as 1000010111000 in binary and 10B8 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 5 × 107) reveals 5 prime building blocks.
Divisible by 2
4280 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
4280 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
4280 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 4280 within several notable number theory sequences:
Timeline
Deep dive
How 4280 breaks down
4280 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 5440, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010111000 supports bitwise reasoning, hexadecimal 10B8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4280 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4280 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4275–4285) to tune search ranges, and educators feature 4280 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 4280 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 4280
Is 4280 a prime number?
4280 is composite with 16 total factors and the prime factorization 2^3 × 5 × 107.
What is the prime factorization of 4280?
It breaks down as 2^3 × 5 × 107, multiplying the primes 2 × 2 × 2 × 5 × 107.
How is 4280 represented in binary and hexadecimal?
4280 converts to 1000010111000 in binary and 10B8 in hexadecimal, which are helpful for computer science applications.
Is 4280 a perfect square, cube, or triangular number?
4280 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4280?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.