3090
3090 is a even composite number that follows 3089 and precedes 3091. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090. Its prime factorization can be written as 2 × 3 × 5 × 103. 3090 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3090 is represented as 110000010010 in binary and C12 in hexadecimal. Historically, it is written as MMMXC in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 103) reveals 4 prime building blocks.
Divisible by 2
3090 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
3090 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
3090 ends in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Abundant classification and digit analytics place 3090 within several notable number theory sequences:
Timeline
Deep dive
How 3090 breaks down
3090 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 4398, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000010010 supports bitwise reasoning, hexadecimal C12 aligns with computing notation, and the Roman numeral MMMXC keeps the encyclopedic tradition alive. These attributes make 3090 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3090 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3085–3095) to tune search ranges, and educators feature 3090 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 3090 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 3090
Is 3090 a prime number?
3090 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 103.
What is the prime factorization of 3090?
It breaks down as 2 × 3 × 5 × 103, multiplying the primes 2 × 3 × 5 × 103.
How is 3090 represented in binary and hexadecimal?
3090 converts to 110000010010 in binary and C12 in hexadecimal, which are helpful for computer science applications.
Is 3090 a perfect square, cube, or triangular number?
3090 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3090?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.