40742
40742 is a even composite number that follows 40741 and precedes 40743. It is composed of 8 distinct factors: 1, 2, 13, 26, 1567, 3134, 20371, 40742. Its prime factorization can be written as 2 × 13 × 1567. 40742 is classified as a deficient number based on the sum of its proper divisors. In computer science, 40742 is represented as 1001111100100110 in binary and 9F26 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 1567) reveals 3 prime building blocks.
Divisible by 2
40742 ends in 2, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
40742 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 17 is not a multiple of 9.
Divisible by 10
40742 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 40742 within several notable number theory sequences:
Timeline
Deep dive
How 40742 breaks down
40742 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 25114, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111100100110 supports bitwise reasoning, hexadecimal 9F26 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 40742 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 40742 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (40737–40747) to tune search ranges, and educators feature 40742 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 40742 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 40742
Is 40742 a prime number?
40742 is composite with 8 total factors and the prime factorization 2 × 13 × 1567.
What is the prime factorization of 40742?
It breaks down as 2 × 13 × 1567, multiplying the primes 2 × 13 × 1567.
How is 40742 represented in binary and hexadecimal?
40742 converts to 1001111100100110 in binary and 9F26 in hexadecimal, which are helpful for computer science applications.
Is 40742 a perfect square, cube, or triangular number?
40742 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 40742?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.