9200
9200 is a even composite number that follows 9199 and precedes 9201. It is composed of 30 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200. Its prime factorization can be written as 2^4 × 5^2 × 23. 9200 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9200 is represented as 10001111110000 in binary and 23F0 in hexadecimal.
Factor Analysis
30 FactorsProperties
The prime factorization (2^4 × 5^2 × 23) reveals 7 prime building blocks.
Divisible by 2
9200 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
9200 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 11 is not a multiple of 9.
Divisible by 10
9200 ends in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 9200 within several notable number theory sequences:
Timeline
Deep dive
How 9200 breaks down
9200 carries 30 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 13864, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001111110000 supports bitwise reasoning, hexadecimal 23F0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9200 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9200 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9195–9205) to tune search ranges, and educators feature 9200 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 9200 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 9200
Is 9200 a prime number?
9200 is composite with 30 total factors and the prime factorization 2^4 × 5^2 × 23.
What is the prime factorization of 9200?
It breaks down as 2^4 × 5^2 × 23, multiplying the primes 2 × 2 × 2 × 2 × 5 × 5 × 23.
How is 9200 represented in binary and hexadecimal?
9200 converts to 10001111110000 in binary and 23F0 in hexadecimal, which are helpful for computer science applications.
Is 9200 a perfect square, cube, or triangular number?
9200 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9200?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.