9025
9025 is a odd composite number that follows 9024 and precedes 9026. It is composed of 9 distinct factors: 1, 5, 19, 25, 95, 361, 475, 1805, 9025. Its prime factorization can be written as 5^2 × 19^2. 9025 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9025 is represented as 10001101000001 in binary and 2341 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (5^2 × 19^2) reveals 4 prime building blocks.
Divisible by 2
9025 ends in 5, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
9025 ends in 5, 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
9025 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 9025 within several notable number theory sequences:
Timeline
Deep dive
How 9025 breaks down
9025 carries 9 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2786, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001101000001 supports bitwise reasoning, hexadecimal 2341 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9025 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9025 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9020–9030) to tune search ranges, and educators feature 9025 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, Perfect squares) help historians, numerologists, and trivia writers tie 9025 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 9025
Is 9025 a prime number?
9025 is composite with 9 total factors and the prime factorization 5^2 × 19^2.
What is the prime factorization of 9025?
It breaks down as 5^2 × 19^2, multiplying the primes 5 × 5 × 19 × 19.
How is 9025 represented in binary and hexadecimal?
9025 converts to 10001101000001 in binary and 2341 in hexadecimal, which are helpful for computer science applications.
Is 9025 a perfect square, cube, or triangular number?
9025 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9025?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.