2196
2196 is a even composite number that follows 2195 and precedes 2197. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196. Its prime factorization can be written as 2^2 × 3^2 × 61. 2196 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2196 is represented as 100010010100 in binary and 894 in hexadecimal. Historically, it is written as MMCXCVI in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 61) reveals 5 prime building blocks.
Divisible by 2
2196 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
2196 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
2196 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 2196 within several notable number theory sequences:
Timeline
Deep dive
How 2196 breaks down
2196 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 3446, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010010100 supports bitwise reasoning, hexadecimal 894 aligns with computing notation, and the Roman numeral MMCXCVI keeps the encyclopedic tradition alive. These attributes make 2196 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2196 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2191–2201) to tune search ranges, and educators feature 2196 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 2196 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 2196
Is 2196 a prime number?
2196 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 61.
What is the prime factorization of 2196?
It breaks down as 2^2 × 3^2 × 61, multiplying the primes 2 × 2 × 3 × 3 × 61.
How is 2196 represented in binary and hexadecimal?
2196 converts to 100010010100 in binary and 894 in hexadecimal, which are helpful for computer science applications.
Is 2196 a perfect square, cube, or triangular number?
2196 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2196?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.