8225
8225 is a odd composite number that follows 8224 and precedes 8226. It is composed of 12 distinct factors: 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225. Its prime factorization can be written as 5^2 × 7 × 47. 8225 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8225 is represented as 10000000100001 in binary and 2021 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5^2 × 7 × 47) reveals 4 prime building blocks.
Divisible by 2
8225 ends in 5, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
8225 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 17 is not a multiple of 9.
Divisible by 10
8225 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 8225 within several notable number theory sequences:
Timeline
Deep dive
How 8225 breaks down
8225 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 3679, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000000100001 supports bitwise reasoning, hexadecimal 2021 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8225 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8225 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8220–8230) to tune search ranges, and educators feature 8225 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 8225 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 8225
Is 8225 a prime number?
8225 is composite with 12 total factors and the prime factorization 5^2 × 7 × 47.
What is the prime factorization of 8225?
It breaks down as 5^2 × 7 × 47, multiplying the primes 5 × 5 × 7 × 47.
How is 8225 represented in binary and hexadecimal?
8225 converts to 10000000100001 in binary and 2021 in hexadecimal, which are helpful for computer science applications.
Is 8225 a perfect square, cube, or triangular number?
8225 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8225?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.