9280
9280 is a even composite number that follows 9279 and precedes 9281. It is composed of 28 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640, 9280. Its prime factorization can be written as 2^6 × 5 × 29. 9280 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9280 is represented as 10010001000000 in binary and 2440 in hexadecimal.
Factor Analysis
28 FactorsProperties
The prime factorization (2^6 × 5 × 29) reveals 8 prime building blocks.
Divisible by 2
9280 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
9280 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 19 is not a multiple of 9.
Divisible by 10
9280 ends in 0.
Divisible by 11
The alternating digit sum 15 is not a multiple of 11.
Abundant classification and digit analytics place 9280 within several notable number theory sequences:
Timeline
Deep dive
How 9280 breaks down
9280 carries 28 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 13580, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010001000000 supports bitwise reasoning, hexadecimal 2440 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9280 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9280 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9275–9285) to tune search ranges, and educators feature 9280 in worksheets about factor trees. Its binary footprint of length 14 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 9280 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 9280
Is 9280 a prime number?
9280 is composite with 28 total factors and the prime factorization 2^6 × 5 × 29.
What is the prime factorization of 9280?
It breaks down as 2^6 × 5 × 29, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 5 × 29.
How is 9280 represented in binary and hexadecimal?
9280 converts to 10010001000000 in binary and 2440 in hexadecimal, which are helpful for computer science applications.
Is 9280 a perfect square, cube, or triangular number?
9280 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9280?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.