1316
1316 is a even composite number that follows 1315 and precedes 1317. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316. Its prime factorization can be written as 2^2 × 7 × 47. 1316 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1316 is represented as 10100100100 in binary and 524 in hexadecimal. Historically, it is written as MCCCXVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 47) reveals 4 prime building blocks.
Divisible by 2
1316 ends in 6, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
1316 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 11 is not a multiple of 9.
Divisible by 10
1316 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 1316 within several notable number theory sequences:
Timeline
Deep dive
How 1316 breaks down
1316 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 1372, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100100100 supports bitwise reasoning, hexadecimal 524 aligns with computing notation, and the Roman numeral MCCCXVI keeps the encyclopedic tradition alive. These attributes make 1316 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1316 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1311–1321) to tune search ranges, and educators feature 1316 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, Abundant numbers) help historians, numerologists, and trivia writers tie 1316 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 1316
Is 1316 a prime number?
1316 is composite with 12 total factors and the prime factorization 2^2 × 7 × 47.
What is the prime factorization of 1316?
It breaks down as 2^2 × 7 × 47, multiplying the primes 2 × 2 × 7 × 47.
How is 1316 represented in binary and hexadecimal?
1316 converts to 10100100100 in binary and 524 in hexadecimal, which are helpful for computer science applications.
Is 1316 a perfect square, cube, or triangular number?
1316 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1316?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.