9342
9342 is a even composite number that follows 9341 and precedes 9343. It is composed of 16 distinct factors: 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342. Its prime factorization can be written as 2 × 3^3 × 173. 9342 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9342 is represented as 10010001111110 in binary and 247E in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3^3 × 173) reveals 5 prime building blocks.
Divisible by 2
9342 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
9342 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 18 is a multiple of 9.
Divisible by 10
9342 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Abundant classification and digit analytics place 9342 within several notable number theory sequences:
Timeline
Deep dive
How 9342 breaks down
9342 carries 16 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 11538, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010001111110 supports bitwise reasoning, hexadecimal 247E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9342 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9342 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9337–9347) to tune search ranges, and educators feature 9342 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 9342 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 9342
Is 9342 a prime number?
9342 is composite with 16 total factors and the prime factorization 2 × 3^3 × 173.
What is the prime factorization of 9342?
It breaks down as 2 × 3^3 × 173, multiplying the primes 2 × 3 × 3 × 3 × 173.
How is 9342 represented in binary and hexadecimal?
9342 converts to 10010001111110 in binary and 247E in hexadecimal, which are helpful for computer science applications.
Is 9342 a perfect square, cube, or triangular number?
9342 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9342?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.