2290
2290 is a even composite number that follows 2289 and precedes 2291. It is composed of 8 distinct factors: 1, 2, 5, 10, 229, 458, 1145, 2290. Its prime factorization can be written as 2 × 5 × 229. 2290 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2290 is represented as 100011110010 in binary and 8F2 in hexadecimal. Historically, it is written as MMCCXC in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 229) reveals 3 prime building blocks.
Divisible by 2
2290 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
2290 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
2290 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 2290 within several notable number theory sequences:
Timeline
Deep dive
How 2290 breaks down
2290 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1850, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100011110010 supports bitwise reasoning, hexadecimal 8F2 aligns with computing notation, and the Roman numeral MMCCXC keeps the encyclopedic tradition alive. These attributes make 2290 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2290 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2285–2295) to tune search ranges, and educators feature 2290 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 2290 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 2290
Is 2290 a prime number?
2290 is composite with 8 total factors and the prime factorization 2 × 5 × 229.
What is the prime factorization of 2290?
It breaks down as 2 × 5 × 229, multiplying the primes 2 × 5 × 229.
How is 2290 represented in binary and hexadecimal?
2290 converts to 100011110010 in binary and 8F2 in hexadecimal, which are helpful for computer science applications.
Is 2290 a perfect square, cube, or triangular number?
2290 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2290?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.