4188
4188 is a even composite number that follows 4187 and precedes 4189. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188. Its prime factorization can be written as 2^2 × 3 × 349. 4188 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4188 is represented as 1000001011100 in binary and 105C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 349) reveals 4 prime building blocks.
Divisible by 2
4188 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
4188 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 21 is not a multiple of 9.
Divisible by 10
4188 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 4188 within several notable number theory sequences:
Timeline
Deep dive
How 4188 breaks down
4188 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 5612, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001011100 supports bitwise reasoning, hexadecimal 105C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4188 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4188 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4183–4193) to tune search ranges, and educators feature 4188 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 4188 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 4188
Is 4188 a prime number?
4188 is composite with 12 total factors and the prime factorization 2^2 × 3 × 349.
What is the prime factorization of 4188?
It breaks down as 2^2 × 3 × 349, multiplying the primes 2 × 2 × 3 × 349.
How is 4188 represented in binary and hexadecimal?
4188 converts to 1000001011100 in binary and 105C in hexadecimal, which are helpful for computer science applications.
Is 4188 a perfect square, cube, or triangular number?
4188 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4188?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.