8265
8265 is a odd composite number that follows 8264 and precedes 8266. It is composed of 16 distinct factors: 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265. Its prime factorization can be written as 3 × 5 × 19 × 29. 8265 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8265 is represented as 10000001001001 in binary and 2049 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 5 × 19 × 29) reveals 4 prime building blocks.
Divisible by 2
8265 ends in 5, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 65 are not divisible by 4.
Divisible by 5
8265 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 21 is not a multiple of 9.
Divisible by 10
8265 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 8265 within several notable number theory sequences:
Timeline
Deep dive
How 8265 breaks down
8265 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 6135, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000001001001 supports bitwise reasoning, hexadecimal 2049 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8265 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8265 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8260–8270) to tune search ranges, and educators feature 8265 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 8265 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 8265
Is 8265 a prime number?
8265 is composite with 16 total factors and the prime factorization 3 × 5 × 19 × 29.
What is the prime factorization of 8265?
It breaks down as 3 × 5 × 19 × 29, multiplying the primes 3 × 5 × 19 × 29.
How is 8265 represented in binary and hexadecimal?
8265 converts to 10000001001001 in binary and 2049 in hexadecimal, which are helpful for computer science applications.
Is 8265 a perfect square, cube, or triangular number?
8265 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8265?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.