6048
6048 is a even composite number that follows 6047 and precedes 6049. It is composed of 48 distinct factors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048. Its prime factorization can be written as 2^5 × 3^3 × 7. 6048 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6048 is represented as 1011110100000 in binary and 17A0 in hexadecimal.
Factor Analysis
48 FactorsProperties
The prime factorization (2^5 × 3^3 × 7) reveals 9 prime building blocks.
Divisible by 2
6048 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
6048 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 18 is a multiple of 9.
Divisible by 10
6048 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 6048 within several notable number theory sequences:
Timeline
Deep dive
How 6048 breaks down
6048 carries 48 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 14112, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011110100000 supports bitwise reasoning, hexadecimal 17A0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6048 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6048 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6043–6053) to tune search ranges, and educators feature 6048 in worksheets about factor trees. Its binary footprint of length 13 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 6048 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 6048
Is 6048 a prime number?
6048 is composite with 48 total factors and the prime factorization 2^5 × 3^3 × 7.
What is the prime factorization of 6048?
It breaks down as 2^5 × 3^3 × 7, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7.
How is 6048 represented in binary and hexadecimal?
6048 converts to 1011110100000 in binary and 17A0 in hexadecimal, which are helpful for computer science applications.
Is 6048 a perfect square, cube, or triangular number?
6048 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6048?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.