202
202 is a even composite number that follows 201 and precedes 203. It is composed of 4 distinct factors: 1, 2, 101, 202. Its prime factorization can be written as 2 × 101. 202 is classified as a deficient number based on the sum of its proper divisors. In computer science, 202 is represented as 11001010 in binary and CA in hexadecimal. Historically, it is written as CCII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 101) reveals 2 prime building blocks.
Divisible by 2
202 ends in 2, so it is even.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
202 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 4 is not a multiple of 9.
Divisible by 10
202 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 202 within several notable number theory sequences:
Timeline
Deep dive
How 202 breaks down
202 carries 4 distinct factors and a digit signature of 4 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 104, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11001010 supports bitwise reasoning, hexadecimal CA aligns with computing notation, and the Roman numeral CCII keeps the encyclopedic tradition alive. These attributes make 202 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 202 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (197–207) to tune search ranges, and educators feature 202 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) help historians, numerologists, and trivia writers tie 202 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 202
Is 202 a prime number?
202 is composite with 4 total factors and the prime factorization 2 × 101.
What is the prime factorization of 202?
It breaks down as 2 × 101, multiplying the primes 2 × 101.
How is 202 represented in binary and hexadecimal?
202 converts to 11001010 in binary and CA in hexadecimal, which are helpful for computer science applications.
Is 202 a perfect square, cube, or triangular number?
202 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 202?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.