24672
24672 is a even composite number that follows 24671 and precedes 24673. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 257, 514, 771, 1028, 1542, 2056, 3084, 4112, 6168, 8224, 12336, 24672. Its prime factorization can be written as 2^5 × 3 × 257. 24672 is classified as a abundant number based on the sum of its proper divisors. In computer science, 24672 is represented as 110000001100000 in binary and 6060 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 3 × 257) reveals 7 prime building blocks.
Divisible by 2
24672 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 72 form a multiple of 4.
Divisible by 5
24672 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
24672 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 24672 within several notable number theory sequences:
Timeline
Deep dive
How 24672 breaks down
24672 carries 24 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 40344, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000001100000 supports bitwise reasoning, hexadecimal 6060 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 24672 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 24672 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (24667–24677) to tune search ranges, and educators feature 24672 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 24672 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 24672
Is 24672 a prime number?
24672 is composite with 24 total factors and the prime factorization 2^5 × 3 × 257.
What is the prime factorization of 24672?
It breaks down as 2^5 × 3 × 257, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 257.
How is 24672 represented in binary and hexadecimal?
24672 converts to 110000001100000 in binary and 6060 in hexadecimal, which are helpful for computer science applications.
Is 24672 a perfect square, cube, or triangular number?
24672 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 24672?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.