9364
9364 is a even composite number that follows 9363 and precedes 9365. It is composed of 6 distinct factors: 1, 2, 4, 2341, 4682, 9364. Its prime factorization can be written as 2^2 × 2341. 9364 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9364 is represented as 10010010010100 in binary and 2494 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 2341) reveals 3 prime building blocks.
Divisible by 2
9364 ends in 4, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
9364 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 22 is not a multiple of 9.
Divisible by 10
9364 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 9364 within several notable number theory sequences:
Timeline
Deep dive
How 9364 breaks down
9364 carries 6 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 7030, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010010010100 supports bitwise reasoning, hexadecimal 2494 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9364 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9364 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9359–9369) to tune search ranges, and educators feature 9364 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, Deficient numbers) help historians, numerologists, and trivia writers tie 9364 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 9364
Is 9364 a prime number?
9364 is composite with 6 total factors and the prime factorization 2^2 × 2341.
What is the prime factorization of 9364?
It breaks down as 2^2 × 2341, multiplying the primes 2 × 2 × 2341.
How is 9364 represented in binary and hexadecimal?
9364 converts to 10010010010100 in binary and 2494 in hexadecimal, which are helpful for computer science applications.
Is 9364 a perfect square, cube, or triangular number?
9364 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9364?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.