24984
24984 is a even composite number that follows 24983 and precedes 24985. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 6246, 8328, 12492, 24984. Its prime factorization can be written as 2^3 × 3^2 × 347. 24984 is classified as a abundant number based on the sum of its proper divisors. In computer science, 24984 is represented as 110000110011000 in binary and 6198 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 3^2 × 347) reveals 6 prime building blocks.
Divisible by 2
24984 ends in 4, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
24984 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 27 is a multiple of 9.
Divisible by 10
24984 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 24984 within several notable number theory sequences:
Timeline
Deep dive
How 24984 breaks down
24984 carries 24 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 42876, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000110011000 supports bitwise reasoning, hexadecimal 6198 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 24984 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 24984 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (24979–24989) to tune search ranges, and educators feature 24984 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 24984 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 24984
Is 24984 a prime number?
24984 is composite with 24 total factors and the prime factorization 2^3 × 3^2 × 347.
What is the prime factorization of 24984?
It breaks down as 2^3 × 3^2 × 347, multiplying the primes 2 × 2 × 2 × 3 × 3 × 347.
How is 24984 represented in binary and hexadecimal?
24984 converts to 110000110011000 in binary and 6198 in hexadecimal, which are helpful for computer science applications.
Is 24984 a perfect square, cube, or triangular number?
24984 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 24984?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.