5016
5016 is a even composite number that follows 5015 and precedes 5017. It is composed of 32 distinct factors: 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016. Its prime factorization can be written as 2^3 × 3 × 11 × 19. 5016 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5016 is represented as 1001110011000 in binary and 1398 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3 × 11 × 19) reveals 6 prime building blocks.
Divisible by 2
5016 ends in 6, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
5016 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 12 is not a multiple of 9.
Divisible by 10
5016 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 5016 within several notable number theory sequences:
Timeline
Deep dive
How 5016 breaks down
5016 carries 32 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 9384, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110011000 supports bitwise reasoning, hexadecimal 1398 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5016 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5016 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5011–5021) to tune search ranges, and educators feature 5016 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 5016 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 5016
Is 5016 a prime number?
5016 is composite with 32 total factors and the prime factorization 2^3 × 3 × 11 × 19.
What is the prime factorization of 5016?
It breaks down as 2^3 × 3 × 11 × 19, multiplying the primes 2 × 2 × 2 × 3 × 11 × 19.
How is 5016 represented in binary and hexadecimal?
5016 converts to 1001110011000 in binary and 1398 in hexadecimal, which are helpful for computer science applications.
Is 5016 a perfect square, cube, or triangular number?
5016 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5016?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.