9250
9250 is a even composite number that follows 9249 and precedes 9251. It is composed of 16 distinct factors: 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250. Its prime factorization can be written as 2 × 5^3 × 37. 9250 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9250 is represented as 10010000100010 in binary and 2422 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5^3 × 37) reveals 5 prime building blocks.
Divisible by 2
9250 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
9250 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 16 is not a multiple of 9.
Divisible by 10
9250 ends in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 9250 within several notable number theory sequences:
Timeline
Deep dive
How 9250 breaks down
9250 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 8534, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010000100010 supports bitwise reasoning, hexadecimal 2422 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9250 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9250 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9245–9255) to tune search ranges, and educators feature 9250 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, Deficient numbers) help historians, numerologists, and trivia writers tie 9250 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 9250
Is 9250 a prime number?
9250 is composite with 16 total factors and the prime factorization 2 × 5^3 × 37.
What is the prime factorization of 9250?
It breaks down as 2 × 5^3 × 37, multiplying the primes 2 × 5 × 5 × 5 × 37.
How is 9250 represented in binary and hexadecimal?
9250 converts to 10010000100010 in binary and 2422 in hexadecimal, which are helpful for computer science applications.
Is 9250 a perfect square, cube, or triangular number?
9250 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9250?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.