9142
9142 is a even composite number that follows 9141 and precedes 9143. It is composed of 8 distinct factors: 1, 2, 7, 14, 653, 1306, 4571, 9142. Its prime factorization can be written as 2 × 7 × 653. 9142 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9142 is represented as 10001110110110 in binary and 23B6 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 653) reveals 3 prime building blocks.
Divisible by 2
9142 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
9142 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 16 is not a multiple of 9.
Divisible by 10
9142 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 9142 within several notable number theory sequences:
Timeline
Deep dive
How 9142 breaks down
9142 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 6554, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001110110110 supports bitwise reasoning, hexadecimal 23B6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9142 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9142 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9137–9147) to tune search ranges, and educators feature 9142 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 9142 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 9142
Is 9142 a prime number?
9142 is composite with 8 total factors and the prime factorization 2 × 7 × 653.
What is the prime factorization of 9142?
It breaks down as 2 × 7 × 653, multiplying the primes 2 × 7 × 653.
How is 9142 represented in binary and hexadecimal?
9142 converts to 10001110110110 in binary and 23B6 in hexadecimal, which are helpful for computer science applications.
Is 9142 a perfect square, cube, or triangular number?
9142 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9142?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.