2990
2990 is a even composite number that follows 2989 and precedes 2991. It is composed of 16 distinct factors: 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990. Its prime factorization can be written as 2 × 5 × 13 × 23. 2990 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2990 is represented as 101110101110 in binary and BAE in hexadecimal. Historically, it is written as MMCMXC in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 13 × 23) reveals 4 prime building blocks.
Divisible by 2
2990 ends in 0, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
2990 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 20 is not a multiple of 9.
Divisible by 10
2990 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 2990 within several notable number theory sequences:
Timeline
Deep dive
How 2990 breaks down
2990 carries 16 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 3058, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110101110 supports bitwise reasoning, hexadecimal BAE aligns with computing notation, and the Roman numeral MMCMXC keeps the encyclopedic tradition alive. These attributes make 2990 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2990 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2985–2995) to tune search ranges, and educators feature 2990 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 2990 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 2990
Is 2990 a prime number?
2990 is composite with 16 total factors and the prime factorization 2 × 5 × 13 × 23.
What is the prime factorization of 2990?
It breaks down as 2 × 5 × 13 × 23, multiplying the primes 2 × 5 × 13 × 23.
How is 2990 represented in binary and hexadecimal?
2990 converts to 101110101110 in binary and BAE in hexadecimal, which are helpful for computer science applications.
Is 2990 a perfect square, cube, or triangular number?
2990 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2990?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.