6016
6016 is a even composite number that follows 6015 and precedes 6017. It is composed of 16 distinct factors: 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016. Its prime factorization can be written as 2^7 × 47. 6016 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6016 is represented as 1011110000000 in binary and 1780 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^7 × 47) reveals 8 prime building blocks.
Divisible by 2
6016 ends in 6, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
6016 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 13 is not a multiple of 9.
Divisible by 10
6016 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 6016 within several notable number theory sequences:
Timeline
Deep dive
How 6016 breaks down
6016 carries 16 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 6224, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011110000000 supports bitwise reasoning, hexadecimal 1780 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6016 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6016 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6011–6021) to tune search ranges, and educators feature 6016 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 6016 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 6016
Is 6016 a prime number?
6016 is composite with 16 total factors and the prime factorization 2^7 × 47.
What is the prime factorization of 6016?
It breaks down as 2^7 × 47, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 47.
How is 6016 represented in binary and hexadecimal?
6016 converts to 1011110000000 in binary and 1780 in hexadecimal, which are helpful for computer science applications.
Is 6016 a perfect square, cube, or triangular number?
6016 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6016?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.