2201
2201 is a odd composite number that follows 2200 and precedes 2202. It is composed of 4 distinct factors: 1, 31, 71, 2201. Its prime factorization can be written as 31 × 71. 2201 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2201 is represented as 100010011001 in binary and 899 in hexadecimal. Historically, it is written as MMCCI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 71) reveals 2 prime building blocks.
Divisible by 2
2201 ends in 1, so it is odd.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
2201 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 5 is not a multiple of 9.
Divisible by 10
2201 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 2201 within several notable number theory sequences:
Timeline
Deep dive
How 2201 breaks down
2201 carries 4 distinct factors and a digit signature of 5 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 103, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010011001 supports bitwise reasoning, hexadecimal 899 aligns with computing notation, and the Roman numeral MMCCI keeps the encyclopedic tradition alive. These attributes make 2201 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2201 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2196–2206) to tune search ranges, and educators feature 2201 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, Deficient numbers) help historians, numerologists, and trivia writers tie 2201 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 2201
Is 2201 a prime number?
2201 is composite with 4 total factors and the prime factorization 31 × 71.
What is the prime factorization of 2201?
It breaks down as 31 × 71, multiplying the primes 31 × 71.
How is 2201 represented in binary and hexadecimal?
2201 converts to 100010011001 in binary and 899 in hexadecimal, which are helpful for computer science applications.
Is 2201 a perfect square, cube, or triangular number?
2201 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2201?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.