8166
8166 is a even composite number that follows 8165 and precedes 8167. It is composed of 8 distinct factors: 1, 2, 3, 6, 1361, 2722, 4083, 8166. Its prime factorization can be written as 2 × 3 × 1361. 8166 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8166 is represented as 1111111100110 in binary and 1FE6 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 1361) reveals 3 prime building blocks.
Divisible by 2
8166 ends in 6, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 66 are not divisible by 4.
Divisible by 5
8166 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
8166 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 8166 within several notable number theory sequences:
Timeline
Deep dive
How 8166 breaks down
8166 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 8178, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111100110 supports bitwise reasoning, hexadecimal 1FE6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8166 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8166 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8161–8171) to tune search ranges, and educators feature 8166 in worksheets about factor trees. Its binary footprint of length 13 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 8166 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 8166
Is 8166 a prime number?
8166 is composite with 8 total factors and the prime factorization 2 × 3 × 1361.
What is the prime factorization of 8166?
It breaks down as 2 × 3 × 1361, multiplying the primes 2 × 3 × 1361.
How is 8166 represented in binary and hexadecimal?
8166 converts to 1111111100110 in binary and 1FE6 in hexadecimal, which are helpful for computer science applications.
Is 8166 a perfect square, cube, or triangular number?
8166 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8166?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.