188
188 is a even composite number that follows 187 and precedes 189. It is composed of 6 distinct factors: 1, 2, 4, 47, 94, 188. Its prime factorization can be written as 2^2 × 47. 188 is classified as a deficient number based on the sum of its proper divisors. In computer science, 188 is represented as 10111100 in binary and BC in hexadecimal. Historically, it is written as CLXXXVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 47) reveals 3 prime building blocks.
Divisible by 2
188 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
188 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 17 is not a multiple of 9.
Divisible by 10
188 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 188 within several notable number theory sequences:
Timeline
Deep dive
How 188 breaks down
188 carries 6 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 148, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111100 supports bitwise reasoning, hexadecimal BC aligns with computing notation, and the Roman numeral CLXXXVIII keeps the encyclopedic tradition alive. These attributes make 188 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 188 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (183–193) to tune search ranges, and educators feature 188 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 188 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 188
Is 188 a prime number?
188 is composite with 6 total factors and the prime factorization 2^2 × 47.
What is the prime factorization of 188?
It breaks down as 2^2 × 47, multiplying the primes 2 × 2 × 47.
How is 188 represented in binary and hexadecimal?
188 converts to 10111100 in binary and BC in hexadecimal, which are helpful for computer science applications.
Is 188 a perfect square, cube, or triangular number?
188 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 188?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.