27248
27248 is a even composite number that follows 27247 and precedes 27249. It is composed of 20 distinct factors: 1, 2, 4, 8, 13, 16, 26, 52, 104, 131, 208, 262, 524, 1048, 1703, 2096, 3406, 6812, 13624, 27248. Its prime factorization can be written as 2^4 × 13 × 131. 27248 is classified as a abundant number based on the sum of its proper divisors. In computer science, 27248 is represented as 110101001110000 in binary and 6A70 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 13 × 131) reveals 6 prime building blocks.
Divisible by 2
27248 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
27248 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 23 is not a multiple of 9.
Divisible by 10
27248 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 27248 within several notable number theory sequences:
Timeline
Deep dive
How 27248 breaks down
27248 carries 20 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 30040, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101001110000 supports bitwise reasoning, hexadecimal 6A70 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 27248 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 27248 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (27243–27253) to tune search ranges, and educators feature 27248 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 27248 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 27248
Is 27248 a prime number?
27248 is composite with 20 total factors and the prime factorization 2^4 × 13 × 131.
What is the prime factorization of 27248?
It breaks down as 2^4 × 13 × 131, multiplying the primes 2 × 2 × 2 × 2 × 13 × 131.
How is 27248 represented in binary and hexadecimal?
27248 converts to 110101001110000 in binary and 6A70 in hexadecimal, which are helpful for computer science applications.
Is 27248 a perfect square, cube, or triangular number?
27248 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 27248?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.