42746
42746 is a even composite number that follows 42745 and precedes 42747. It is composed of 16 distinct factors: 1, 2, 11, 22, 29, 58, 67, 134, 319, 638, 737, 1474, 1943, 3886, 21373, 42746. Its prime factorization can be written as 2 × 11 × 29 × 67. 42746 is classified as a deficient number based on the sum of its proper divisors. In computer science, 42746 is represented as 1010011011111010 in binary and A6FA in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 11 × 29 × 67) reveals 4 prime building blocks.
Divisible by 2
42746 ends in 6, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 46 are not divisible by 4.
Divisible by 5
42746 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 23 is not a multiple of 9.
Divisible by 10
42746 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 42746 within several notable number theory sequences:
Timeline
Deep dive
How 42746 breaks down
42746 carries 16 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 30694, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011011111010 supports bitwise reasoning, hexadecimal A6FA aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42746 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42746 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42741–42751) to tune search ranges, and educators feature 42746 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 42746 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 42746
Is 42746 a prime number?
42746 is composite with 16 total factors and the prime factorization 2 × 11 × 29 × 67.
What is the prime factorization of 42746?
It breaks down as 2 × 11 × 29 × 67, multiplying the primes 2 × 11 × 29 × 67.
How is 42746 represented in binary and hexadecimal?
42746 converts to 1010011011111010 in binary and A6FA in hexadecimal, which are helpful for computer science applications.
Is 42746 a perfect square, cube, or triangular number?
42746 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42746?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.