42736
42736 is a even composite number that follows 42735 and precedes 42737. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 2671, 5342, 10684, 21368, 42736. Its prime factorization can be written as 2^4 × 2671. 42736 is classified as a deficient number based on the sum of its proper divisors. In computer science, 42736 is represented as 1010011011110000 in binary and A6F0 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 2671) reveals 5 prime building blocks.
Divisible by 2
42736 ends in 6, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
42736 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 22 is not a multiple of 9.
Divisible by 10
42736 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 42736 within several notable number theory sequences:
Timeline
Deep dive
How 42736 breaks down
42736 carries 10 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 40096, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011011110000 supports bitwise reasoning, hexadecimal A6F0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42736 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42736 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42731–42741) to tune search ranges, and educators feature 42736 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 42736 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 42736
Is 42736 a prime number?
42736 is composite with 10 total factors and the prime factorization 2^4 × 2671.
What is the prime factorization of 42736?
It breaks down as 2^4 × 2671, multiplying the primes 2 × 2 × 2 × 2 × 2671.
How is 42736 represented in binary and hexadecimal?
42736 converts to 1010011011110000 in binary and A6F0 in hexadecimal, which are helpful for computer science applications.
Is 42736 a perfect square, cube, or triangular number?
42736 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42736?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.