27424
27424 is a even composite number that follows 27423 and precedes 27425. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 857, 1714, 3428, 6856, 13712, 27424. Its prime factorization can be written as 2^5 × 857. 27424 is classified as a deficient number based on the sum of its proper divisors. In computer science, 27424 is represented as 110101100100000 in binary and 6B20 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 857) reveals 6 prime building blocks.
Divisible by 2
27424 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
27424 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 19 is not a multiple of 9.
Divisible by 10
27424 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 27424 within several notable number theory sequences:
Timeline
Deep dive
How 27424 breaks down
27424 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 26630, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101100100000 supports bitwise reasoning, hexadecimal 6B20 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 27424 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 27424 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (27419–27429) to tune search ranges, and educators feature 27424 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, Deficient numbers) help historians, numerologists, and trivia writers tie 27424 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 27424
Is 27424 a prime number?
27424 is composite with 12 total factors and the prime factorization 2^5 × 857.
What is the prime factorization of 27424?
It breaks down as 2^5 × 857, multiplying the primes 2 × 2 × 2 × 2 × 2 × 857.
How is 27424 represented in binary and hexadecimal?
27424 converts to 110101100100000 in binary and 6B20 in hexadecimal, which are helpful for computer science applications.
Is 27424 a perfect square, cube, or triangular number?
27424 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 27424?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.