302
302 is a even composite number that follows 301 and precedes 303. It is composed of 4 distinct factors: 1, 2, 151, 302. Its prime factorization can be written as 2 × 151. 302 is classified as a deficient number based on the sum of its proper divisors. In computer science, 302 is represented as 100101110 in binary and 12E in hexadecimal. Historically, it is written as CCCII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 151) reveals 2 prime building blocks.
Divisible by 2
302 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
302 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
302 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 302 within several notable number theory sequences:
Timeline
Deep dive
How 302 breaks down
302 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 154, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101110 supports bitwise reasoning, hexadecimal 12E aligns with computing notation, and the Roman numeral CCCII keeps the encyclopedic tradition alive. These attributes make 302 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 302 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (297–307) to tune search ranges, and educators feature 302 in worksheets about factor trees. Its binary footprint of length 9 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 302 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 302
Is 302 a prime number?
302 is composite with 4 total factors and the prime factorization 2 × 151.
What is the prime factorization of 302?
It breaks down as 2 × 151, multiplying the primes 2 × 151.
How is 302 represented in binary and hexadecimal?
302 converts to 100101110 in binary and 12E in hexadecimal, which are helpful for computer science applications.
Is 302 a perfect square, cube, or triangular number?
302 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 302?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.