8260
8260 is a even composite number that follows 8259 and precedes 8261. It is composed of 24 distinct factors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260. Its prime factorization can be written as 2^2 × 5 × 7 × 59. 8260 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8260 is represented as 10000001000100 in binary and 2044 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5 × 7 × 59) reveals 5 prime building blocks.
Divisible by 2
8260 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 60 form a multiple of 4.
Divisible by 5
8260 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
8260 ends in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Abundant classification and digit analytics place 8260 within several notable number theory sequences:
Timeline
Deep dive
How 8260 breaks down
8260 carries 24 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 11900, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000001000100 supports bitwise reasoning, hexadecimal 2044 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8260 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8260 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8255–8265) to tune search ranges, and educators feature 8260 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 8260 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 8260
Is 8260 a prime number?
8260 is composite with 24 total factors and the prime factorization 2^2 × 5 × 7 × 59.
What is the prime factorization of 8260?
It breaks down as 2^2 × 5 × 7 × 59, multiplying the primes 2 × 2 × 5 × 7 × 59.
How is 8260 represented in binary and hexadecimal?
8260 converts to 10000001000100 in binary and 2044 in hexadecimal, which are helpful for computer science applications.
Is 8260 a perfect square, cube, or triangular number?
8260 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8260?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.