24960
24960 is a even composite number that follows 24959 and precedes 24961. It is composed of 64 distinct factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 128, 130, 156, 160, 192, 195, 208, 240, 260, 312, 320, 384, 390, 416, 480, 520, 624, 640, 780, 832, 960, 1040, 1248, 1560, 1664, 1920, 2080, 2496, 3120, 4160, 4992, 6240, 8320, 12480, 24960. Its prime factorization can be written as 2^7 × 3 × 5 × 13. 24960 is classified as a abundant number based on the sum of its proper divisors. In computer science, 24960 is represented as 110000110000000 in binary and 6180 in hexadecimal.
Factor Analysis
64 FactorsProperties
The prime factorization (2^7 × 3 × 5 × 13) reveals 10 prime building blocks.
Divisible by 2
24960 ends in 0, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
24960 ends in 0, so it is divisible by 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
24960 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 24960 within several notable number theory sequences:
Timeline
Deep dive
How 24960 breaks down
24960 carries 64 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 60720, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000110000000 supports bitwise reasoning, hexadecimal 6180 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 24960 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 24960 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (24955–24965) to tune search ranges, and educators feature 24960 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 24960 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 24960
Is 24960 a prime number?
24960 is composite with 64 total factors and the prime factorization 2^7 × 3 × 5 × 13.
What is the prime factorization of 24960?
It breaks down as 2^7 × 3 × 5 × 13, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13.
How is 24960 represented in binary and hexadecimal?
24960 converts to 110000110000000 in binary and 6180 in hexadecimal, which are helpful for computer science applications.
Is 24960 a perfect square, cube, or triangular number?
24960 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 24960?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.