42738
42738 is a even composite number that follows 42737 and precedes 42739. It is composed of 16 distinct factors: 1, 2, 3, 6, 17, 34, 51, 102, 419, 838, 1257, 2514, 7123, 14246, 21369, 42738. Its prime factorization can be written as 2 × 3 × 17 × 419. 42738 is classified as a abundant number based on the sum of its proper divisors. In computer science, 42738 is represented as 1010011011110010 in binary and A6F2 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 17 × 419) reveals 4 prime building blocks.
Divisible by 2
42738 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
42738 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
42738 does not end in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Abundant classification and digit analytics place 42738 within several notable number theory sequences:
Timeline
Deep dive
How 42738 breaks down
42738 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 47982, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011011110010 supports bitwise reasoning, hexadecimal A6F2 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42738 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42738 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42733–42743) to tune search ranges, and educators feature 42738 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, Abundant numbers) help historians, numerologists, and trivia writers tie 42738 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 42738
Is 42738 a prime number?
42738 is composite with 16 total factors and the prime factorization 2 × 3 × 17 × 419.
What is the prime factorization of 42738?
It breaks down as 2 × 3 × 17 × 419, multiplying the primes 2 × 3 × 17 × 419.
How is 42738 represented in binary and hexadecimal?
42738 converts to 1010011011110010 in binary and A6F2 in hexadecimal, which are helpful for computer science applications.
Is 42738 a perfect square, cube, or triangular number?
42738 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42738?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.