5168
5168 is a even composite number that follows 5167 and precedes 5169. It is composed of 20 distinct factors: 1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168. Its prime factorization can be written as 2^4 × 17 × 19. 5168 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5168 is represented as 1010000110000 in binary and 1430 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 17 × 19) reveals 6 prime building blocks.
Divisible by 2
5168 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
5168 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 20 is not a multiple of 9.
Divisible by 10
5168 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 5168 within several notable number theory sequences:
Timeline
Deep dive
How 5168 breaks down
5168 carries 20 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 5992, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010000110000 supports bitwise reasoning, hexadecimal 1430 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5168 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5168 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5163–5173) to tune search ranges, and educators feature 5168 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 5168 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 5168
Is 5168 a prime number?
5168 is composite with 20 total factors and the prime factorization 2^4 × 17 × 19.
What is the prime factorization of 5168?
It breaks down as 2^4 × 17 × 19, multiplying the primes 2 × 2 × 2 × 2 × 17 × 19.
How is 5168 represented in binary and hexadecimal?
5168 converts to 1010000110000 in binary and 1430 in hexadecimal, which are helpful for computer science applications.
Is 5168 a perfect square, cube, or triangular number?
5168 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5168?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.