2890
2890 is a even composite number that follows 2889 and precedes 2891. It is composed of 12 distinct factors: 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890. Its prime factorization can be written as 2 × 5 × 17^2. 2890 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2890 is represented as 101101001010 in binary and B4A in hexadecimal. Historically, it is written as MMDCCCXC in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5 × 17^2) reveals 4 prime building blocks.
Divisible by 2
2890 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
2890 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 19 is not a multiple of 9.
Divisible by 10
2890 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 2890 within several notable number theory sequences:
Timeline
Deep dive
How 2890 breaks down
2890 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 2636, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101001010 supports bitwise reasoning, hexadecimal B4A aligns with computing notation, and the Roman numeral MMDCCCXC keeps the encyclopedic tradition alive. These attributes make 2890 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2890 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2885–2895) to tune search ranges, and educators feature 2890 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 2890 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 2890
Is 2890 a prime number?
2890 is composite with 12 total factors and the prime factorization 2 × 5 × 17^2.
What is the prime factorization of 2890?
It breaks down as 2 × 5 × 17^2, multiplying the primes 2 × 5 × 17 × 17.
How is 2890 represented in binary and hexadecimal?
2890 converts to 101101001010 in binary and B4A in hexadecimal, which are helpful for computer science applications.
Is 2890 a perfect square, cube, or triangular number?
2890 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2890?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.