2190
2190 is a even composite number that follows 2189 and precedes 2191. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190. Its prime factorization can be written as 2 × 3 × 5 × 73. 2190 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2190 is represented as 100010001110 in binary and 88E in hexadecimal. Historically, it is written as MMCXC in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 73) reveals 4 prime building blocks.
Divisible by 2
2190 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
2190 ends in 0, so it is divisible by 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
2190 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 2190 within several notable number theory sequences:
Timeline
Deep dive
How 2190 breaks down
2190 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3138, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010001110 supports bitwise reasoning, hexadecimal 88E aligns with computing notation, and the Roman numeral MMCXC keeps the encyclopedic tradition alive. These attributes make 2190 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2190 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2185–2195) to tune search ranges, and educators feature 2190 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2190 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 2190
Is 2190 a prime number?
2190 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 73.
What is the prime factorization of 2190?
It breaks down as 2 × 3 × 5 × 73, multiplying the primes 2 × 3 × 5 × 73.
How is 2190 represented in binary and hexadecimal?
2190 converts to 100010001110 in binary and 88E in hexadecimal, which are helpful for computer science applications.
Is 2190 a perfect square, cube, or triangular number?
2190 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2190?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.