24642
24642 is a even composite number that follows 24641 and precedes 24643. It is composed of 18 distinct factors: 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666, 1369, 2738, 4107, 8214, 12321, 24642. Its prime factorization can be written as 2 × 3^2 × 37^2. 24642 is classified as a abundant number based on the sum of its proper divisors. In computer science, 24642 is represented as 110000001000010 in binary and 6042 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2 × 3^2 × 37^2) reveals 5 prime building blocks.
Divisible by 2
24642 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
24642 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 18 is a multiple of 9.
Divisible by 10
24642 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 24642 within several notable number theory sequences:
Timeline
Deep dive
How 24642 breaks down
24642 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 30231, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000001000010 supports bitwise reasoning, hexadecimal 6042 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 24642 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 24642 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (24637–24647) to tune search ranges, and educators feature 24642 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 24642 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 24642
Is 24642 a prime number?
24642 is composite with 18 total factors and the prime factorization 2 × 3^2 × 37^2.
What is the prime factorization of 24642?
It breaks down as 2 × 3^2 × 37^2, multiplying the primes 2 × 3 × 3 × 37 × 37.
How is 24642 represented in binary and hexadecimal?
24642 converts to 110000001000010 in binary and 6042 in hexadecimal, which are helpful for computer science applications.
Is 24642 a perfect square, cube, or triangular number?
24642 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 24642?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.