9396
9396 is a even composite number that follows 9395 and precedes 9397. It is composed of 30 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396. Its prime factorization can be written as 2^2 × 3^4 × 29. 9396 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9396 is represented as 10010010110100 in binary and 24B4 in hexadecimal.
Factor Analysis
30 FactorsProperties
The prime factorization (2^2 × 3^4 × 29) reveals 7 prime building blocks.
Divisible by 2
9396 ends in 6, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
9396 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 27 is a multiple of 9.
Divisible by 10
9396 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 9396 within several notable number theory sequences:
Timeline
Deep dive
How 9396 breaks down
9396 carries 30 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 16014, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010010110100 supports bitwise reasoning, hexadecimal 24B4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9396 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9396 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9391–9401) to tune search ranges, and educators feature 9396 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 9396 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 9396
Is 9396 a prime number?
9396 is composite with 30 total factors and the prime factorization 2^2 × 3^4 × 29.
What is the prime factorization of 9396?
It breaks down as 2^2 × 3^4 × 29, multiplying the primes 2 × 2 × 3 × 3 × 3 × 3 × 29.
How is 9396 represented in binary and hexadecimal?
9396 converts to 10010010110100 in binary and 24B4 in hexadecimal, which are helpful for computer science applications.
Is 9396 a perfect square, cube, or triangular number?
9396 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9396?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.