9168
9168 is a even composite number that follows 9167 and precedes 9169. It is composed of 20 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168. Its prime factorization can be written as 2^4 × 3 × 191. 9168 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9168 is represented as 10001111010000 in binary and 23D0 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 3 × 191) reveals 6 prime building blocks.
Divisible by 2
9168 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
9168 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 24 is not a multiple of 9.
Divisible by 10
9168 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 9168 within several notable number theory sequences:
Timeline
Deep dive
How 9168 breaks down
9168 carries 20 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 14640, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001111010000 supports bitwise reasoning, hexadecimal 23D0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9168 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9168 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9163–9173) to tune search ranges, and educators feature 9168 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 9168 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 9168
Is 9168 a prime number?
9168 is composite with 20 total factors and the prime factorization 2^4 × 3 × 191.
What is the prime factorization of 9168?
It breaks down as 2^4 × 3 × 191, multiplying the primes 2 × 2 × 2 × 2 × 3 × 191.
How is 9168 represented in binary and hexadecimal?
9168 converts to 10001111010000 in binary and 23D0 in hexadecimal, which are helpful for computer science applications.
Is 9168 a perfect square, cube, or triangular number?
9168 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9168?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.