42742
42742 is a even composite number that follows 42741 and precedes 42743. It is composed of 16 distinct factors: 1, 2, 7, 14, 43, 71, 86, 142, 301, 497, 602, 994, 3053, 6106, 21371, 42742. Its prime factorization can be written as 2 × 7 × 43 × 71. 42742 is classified as a deficient number based on the sum of its proper divisors. In computer science, 42742 is represented as 1010011011110110 in binary and A6F6 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 7 × 43 × 71) reveals 4 prime building blocks.
Divisible by 2
42742 ends in 2, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
42742 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 19 is not a multiple of 9.
Divisible by 10
42742 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 42742 within several notable number theory sequences:
Timeline
Deep dive
How 42742 breaks down
42742 carries 16 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 33290, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011011110110 supports bitwise reasoning, hexadecimal A6F6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42742 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42742 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42737–42747) to tune search ranges, and educators feature 42742 in worksheets about factor trees. Its binary footprint of length 16 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 42742 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 42742
Is 42742 a prime number?
42742 is composite with 16 total factors and the prime factorization 2 × 7 × 43 × 71.
What is the prime factorization of 42742?
It breaks down as 2 × 7 × 43 × 71, multiplying the primes 2 × 7 × 43 × 71.
How is 42742 represented in binary and hexadecimal?
42742 converts to 1010011011110110 in binary and A6F6 in hexadecimal, which are helpful for computer science applications.
Is 42742 a perfect square, cube, or triangular number?
42742 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42742?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.