318
318 is a even composite number that follows 317 and precedes 319. It is composed of 8 distinct factors: 1, 2, 3, 6, 53, 106, 159, 318. Its prime factorization can be written as 2 × 3 × 53. 318 is classified as a abundant number based on the sum of its proper divisors. In computer science, 318 is represented as 100111110 in binary and 13E in hexadecimal. Historically, it is written as CCCXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 53) reveals 3 prime building blocks.
Divisible by 2
318 ends in 8, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 18 are not divisible by 4.
Divisible by 5
318 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 12 is not a multiple of 9.
Divisible by 10
318 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 318 within several notable number theory sequences:
Timeline
Deep dive
How 318 breaks down
318 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 330, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111110 supports bitwise reasoning, hexadecimal 13E aligns with computing notation, and the Roman numeral CCCXVIII keeps the encyclopedic tradition alive. These attributes make 318 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 318 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (313–323) to tune search ranges, and educators feature 318 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, Abundant numbers) help historians, numerologists, and trivia writers tie 318 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 318
Is 318 a prime number?
318 is composite with 8 total factors and the prime factorization 2 × 3 × 53.
What is the prime factorization of 318?
It breaks down as 2 × 3 × 53, multiplying the primes 2 × 3 × 53.
How is 318 represented in binary and hexadecimal?
318 converts to 100111110 in binary and 13E in hexadecimal, which are helpful for computer science applications.
Is 318 a perfect square, cube, or triangular number?
318 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 318?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.