1202
1202 is a even composite number that follows 1201 and precedes 1203. It is composed of 4 distinct factors: 1, 2, 601, 1202. Its prime factorization can be written as 2 × 601. 1202 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1202 is represented as 10010110010 in binary and 4B2 in hexadecimal. Historically, it is written as MCCII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 601) reveals 2 prime building blocks.
Divisible by 2
1202 ends in 2, so it is even.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
1202 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
1202 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 1202 within several notable number theory sequences:
Timeline
Deep dive
How 1202 breaks down
1202 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 604, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010110010 supports bitwise reasoning, hexadecimal 4B2 aligns with computing notation, and the Roman numeral MCCII keeps the encyclopedic tradition alive. These attributes make 1202 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1202 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1197–1207) to tune search ranges, and educators feature 1202 in worksheets about factor trees. Its binary footprint of length 11 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 1202 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 1202
Is 1202 a prime number?
1202 is composite with 4 total factors and the prime factorization 2 × 601.
What is the prime factorization of 1202?
It breaks down as 2 × 601, multiplying the primes 2 × 601.
How is 1202 represented in binary and hexadecimal?
1202 converts to 10010110010 in binary and 4B2 in hexadecimal, which are helpful for computer science applications.
Is 1202 a perfect square, cube, or triangular number?
1202 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1202?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.