3016
3016 is a even composite number that follows 3015 and precedes 3017. It is composed of 16 distinct factors: 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016. Its prime factorization can be written as 2^3 × 13 × 29. 3016 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3016 is represented as 101111001000 in binary and BC8 in hexadecimal. Historically, it is written as MMMXVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 13 × 29) reveals 5 prime building blocks.
Divisible by 2
3016 ends in 6, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
3016 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 10 is not a multiple of 9.
Divisible by 10
3016 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 3016 within several notable number theory sequences:
Timeline
Deep dive
How 3016 breaks down
3016 carries 16 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 3284, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111001000 supports bitwise reasoning, hexadecimal BC8 aligns with computing notation, and the Roman numeral MMMXVI keeps the encyclopedic tradition alive. These attributes make 3016 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3016 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3011–3021) to tune search ranges, and educators feature 3016 in worksheets about factor trees. Its binary footprint of length 12 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 3016 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 3016
Is 3016 a prime number?
3016 is composite with 16 total factors and the prime factorization 2^3 × 13 × 29.
What is the prime factorization of 3016?
It breaks down as 2^3 × 13 × 29, multiplying the primes 2 × 2 × 2 × 13 × 29.
How is 3016 represented in binary and hexadecimal?
3016 converts to 101111001000 in binary and BC8 in hexadecimal, which are helpful for computer science applications.
Is 3016 a perfect square, cube, or triangular number?
3016 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3016?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.