190
190 is a even composite number that follows 189 and precedes 191. It is composed of 8 distinct factors: 1, 2, 5, 10, 19, 38, 95, 190. Its prime factorization can be written as 2 × 5 × 19. 190 is classified as a deficient number based on the sum of its proper divisors. In computer science, 190 is represented as 10111110 in binary and BE in hexadecimal. Historically, it is written as CXC in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 19) reveals 3 prime building blocks.
Divisible by 2
190 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
190 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 10 is not a multiple of 9.
Divisible by 10
190 ends in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 190 within several notable number theory sequences:
Timeline
Deep dive
How 190 breaks down
190 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 170, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111110 supports bitwise reasoning, hexadecimal BE aligns with computing notation, and the Roman numeral CXC keeps the encyclopedic tradition alive. These attributes make 190 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 190 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (185–195) to tune search ranges, and educators feature 190 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 190 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 190
Is 190 a prime number?
190 is composite with 8 total factors and the prime factorization 2 × 5 × 19.
What is the prime factorization of 190?
It breaks down as 2 × 5 × 19, multiplying the primes 2 × 5 × 19.
How is 190 represented in binary and hexadecimal?
190 converts to 10111110 in binary and BE in hexadecimal, which are helpful for computer science applications.
Is 190 a perfect square, cube, or triangular number?
190 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 190?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.