196
196 is a even composite number that follows 195 and precedes 197. It is composed of 9 distinct factors: 1, 2, 4, 7, 14, 28, 49, 98, 196. Its prime factorization can be written as 2^2 × 7^2. 196 is classified as a abundant number based on the sum of its proper divisors. In computer science, 196 is represented as 11000100 in binary and C4 in hexadecimal. Historically, it is written as CXCVI in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (2^2 × 7^2) reveals 4 prime building blocks.
Divisible by 2
196 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
196 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 16 is not a multiple of 9.
Divisible by 10
196 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 196 within several notable number theory sequences:
Timeline
Deep dive
How 196 breaks down
196 carries 9 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 203, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11000100 supports bitwise reasoning, hexadecimal C4 aligns with computing notation, and the Roman numeral CXCVI keeps the encyclopedic tradition alive. These attributes make 196 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 196 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (191–201) to tune search ranges, and educators feature 196 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, Abundant numbers, Perfect squares) help historians, numerologists, and trivia writers tie 196 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 196
Is 196 a prime number?
196 is composite with 9 total factors and the prime factorization 2^2 × 7^2.
What is the prime factorization of 196?
It breaks down as 2^2 × 7^2, multiplying the primes 2 × 2 × 7 × 7.
How is 196 represented in binary and hexadecimal?
196 converts to 11000100 in binary and C4 in hexadecimal, which are helpful for computer science applications.
Is 196 a perfect square, cube, or triangular number?
196 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 196?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.