2188
2188 is a even composite number that follows 2187 and precedes 2189. It is composed of 6 distinct factors: 1, 2, 4, 547, 1094, 2188. Its prime factorization can be written as 2^2 × 547. 2188 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2188 is represented as 100010001100 in binary and 88C in hexadecimal. Historically, it is written as MMCLXXXVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 547) reveals 3 prime building blocks.
Divisible by 2
2188 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
2188 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 19 is not a multiple of 9.
Divisible by 10
2188 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 2188 within several notable number theory sequences:
Timeline
Deep dive
How 2188 breaks down
2188 carries 6 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1648, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010001100 supports bitwise reasoning, hexadecimal 88C aligns with computing notation, and the Roman numeral MMCLXXXVIII keeps the encyclopedic tradition alive. These attributes make 2188 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2188 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2183–2193) to tune search ranges, and educators feature 2188 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, Deficient numbers) help historians, numerologists, and trivia writers tie 2188 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 2188
Is 2188 a prime number?
2188 is composite with 6 total factors and the prime factorization 2^2 × 547.
What is the prime factorization of 2188?
It breaks down as 2^2 × 547, multiplying the primes 2 × 2 × 547.
How is 2188 represented in binary and hexadecimal?
2188 converts to 100010001100 in binary and 88C in hexadecimal, which are helpful for computer science applications.
Is 2188 a perfect square, cube, or triangular number?
2188 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2188?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.