1990
1990 is a even composite number that follows 1989 and precedes 1991. It is composed of 8 distinct factors: 1, 2, 5, 10, 199, 398, 995, 1990. Its prime factorization can be written as 2 × 5 × 199. 1990 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1990 is represented as 11111000110 in binary and 7C6 in hexadecimal. Historically, it is written as MCMXC in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 199) reveals 3 prime building blocks.
Divisible by 2
1990 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
1990 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
1990 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 1990 within several notable number theory sequences:
Timeline
Deep dive
How 1990 breaks down
1990 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1610, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111000110 supports bitwise reasoning, hexadecimal 7C6 aligns with computing notation, and the Roman numeral MCMXC keeps the encyclopedic tradition alive. These attributes make 1990 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1990 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1985–1995) to tune search ranges, and educators feature 1990 in worksheets about factor trees. Its binary footprint of length 11 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 1990 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 1990
Is 1990 a prime number?
1990 is composite with 8 total factors and the prime factorization 2 × 5 × 199.
What is the prime factorization of 1990?
It breaks down as 2 × 5 × 199, multiplying the primes 2 × 5 × 199.
How is 1990 represented in binary and hexadecimal?
1990 converts to 11111000110 in binary and 7C6 in hexadecimal, which are helpful for computer science applications.
Is 1990 a perfect square, cube, or triangular number?
1990 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1990?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.