9112
9112 is a even composite number that follows 9111 and precedes 9113. It is composed of 16 distinct factors: 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112. Its prime factorization can be written as 2^3 × 17 × 67. 9112 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9112 is represented as 10001110011000 in binary and 2398 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 17 × 67) reveals 5 prime building blocks.
Divisible by 2
9112 ends in 2, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 12 form a multiple of 4.
Divisible by 5
9112 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
9112 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 9112 within several notable number theory sequences:
Timeline
Deep dive
How 9112 breaks down
9112 carries 16 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 9248, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001110011000 supports bitwise reasoning, hexadecimal 2398 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9112 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9112 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9107–9117) to tune search ranges, and educators feature 9112 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 9112 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 9112
Is 9112 a prime number?
9112 is composite with 16 total factors and the prime factorization 2^3 × 17 × 67.
What is the prime factorization of 9112?
It breaks down as 2^3 × 17 × 67, multiplying the primes 2 × 2 × 2 × 17 × 67.
How is 9112 represented in binary and hexadecimal?
9112 converts to 10001110011000 in binary and 2398 in hexadecimal, which are helpful for computer science applications.
Is 9112 a perfect square, cube, or triangular number?
9112 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9112?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.