9438
9438 is a even composite number that follows 9437 and precedes 9439. It is composed of 24 distinct factors: 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438. Its prime factorization can be written as 2 × 3 × 11^2 × 13. 9438 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9438 is represented as 10010011011110 in binary and 24DE in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3 × 11^2 × 13) reveals 5 prime building blocks.
Divisible by 2
9438 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 38 are not divisible by 4.
Divisible by 5
9438 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
9438 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 9438 within several notable number theory sequences:
Timeline
Deep dive
How 9438 breaks down
9438 carries 24 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 12906, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010011011110 supports bitwise reasoning, hexadecimal 24DE aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9438 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9438 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9433–9443) to tune search ranges, and educators feature 9438 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 9438 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 9438
Is 9438 a prime number?
9438 is composite with 24 total factors and the prime factorization 2 × 3 × 11^2 × 13.
What is the prime factorization of 9438?
It breaks down as 2 × 3 × 11^2 × 13, multiplying the primes 2 × 3 × 11 × 11 × 13.
How is 9438 represented in binary and hexadecimal?
9438 converts to 10010011011110 in binary and 24DE in hexadecimal, which are helpful for computer science applications.
Is 9438 a perfect square, cube, or triangular number?
9438 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9438?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.