24942
24942 is a even composite number that follows 24941 and precedes 24943. It is composed of 8 distinct factors: 1, 2, 3, 6, 4157, 8314, 12471, 24942. Its prime factorization can be written as 2 × 3 × 4157. 24942 is classified as a abundant number based on the sum of its proper divisors. In computer science, 24942 is represented as 110000101101110 in binary and 616E in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 4157) reveals 3 prime building blocks.
Divisible by 2
24942 ends in 2, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
24942 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 21 is not a multiple of 9.
Divisible by 10
24942 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 24942 within several notable number theory sequences:
Timeline
Deep dive
How 24942 breaks down
24942 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 24954, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000101101110 supports bitwise reasoning, hexadecimal 616E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 24942 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 24942 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (24937–24947) to tune search ranges, and educators feature 24942 in worksheets about factor trees. Its binary footprint of length 15 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 24942 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 24942
Is 24942 a prime number?
24942 is composite with 8 total factors and the prime factorization 2 × 3 × 4157.
What is the prime factorization of 24942?
It breaks down as 2 × 3 × 4157, multiplying the primes 2 × 3 × 4157.
How is 24942 represented in binary and hexadecimal?
24942 converts to 110000101101110 in binary and 616E in hexadecimal, which are helpful for computer science applications.
Is 24942 a perfect square, cube, or triangular number?
24942 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 24942?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.