316
316 is a even composite number that follows 315 and precedes 317. It is composed of 6 distinct factors: 1, 2, 4, 79, 158, 316. Its prime factorization can be written as 2^2 × 79. 316 is classified as a deficient number based on the sum of its proper divisors. In computer science, 316 is represented as 100111100 in binary and 13C in hexadecimal. Historically, it is written as CCCXVI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 79) reveals 3 prime building blocks.
Divisible by 2
316 ends in 6, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
316 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 10 is not a multiple of 9.
Divisible by 10
316 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 316 within several notable number theory sequences:
Timeline
Deep dive
How 316 breaks down
316 carries 6 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 244, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111100 supports bitwise reasoning, hexadecimal 13C aligns with computing notation, and the Roman numeral CCCXVI keeps the encyclopedic tradition alive. These attributes make 316 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 316 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (311–321) to tune search ranges, and educators feature 316 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 316 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 316
Is 316 a prime number?
316 is composite with 6 total factors and the prime factorization 2^2 × 79.
What is the prime factorization of 316?
It breaks down as 2^2 × 79, multiplying the primes 2 × 2 × 79.
How is 316 represented in binary and hexadecimal?
316 converts to 100111100 in binary and 13C in hexadecimal, which are helpful for computer science applications.
Is 316 a perfect square, cube, or triangular number?
316 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 316?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.