27024
27024 is a even composite number that follows 27023 and precedes 27025. It is composed of 20 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 27024. Its prime factorization can be written as 2^4 × 3 × 563. 27024 is classified as a abundant number based on the sum of its proper divisors. In computer science, 27024 is represented as 110100110010000 in binary and 6990 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 3 × 563) reveals 6 prime building blocks.
Divisible by 2
27024 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
27024 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 15 is not a multiple of 9.
Divisible by 10
27024 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 27024 within several notable number theory sequences:
Timeline
Deep dive
How 27024 breaks down
27024 carries 20 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 42912, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100110010000 supports bitwise reasoning, hexadecimal 6990 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 27024 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 27024 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (27019–27029) to tune search ranges, and educators feature 27024 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 27024 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 27024
Is 27024 a prime number?
27024 is composite with 20 total factors and the prime factorization 2^4 × 3 × 563.
What is the prime factorization of 27024?
It breaks down as 2^4 × 3 × 563, multiplying the primes 2 × 2 × 2 × 2 × 3 × 563.
How is 27024 represented in binary and hexadecimal?
27024 converts to 110100110010000 in binary and 6990 in hexadecimal, which are helpful for computer science applications.
Is 27024 a perfect square, cube, or triangular number?
27024 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 27024?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.