116
116 is a even composite number that follows 115 and precedes 117. It is composed of 6 distinct factors: 1, 2, 4, 29, 58, 116. Its prime factorization can be written as 2^2 × 29. 116 is classified as a deficient number based on the sum of its proper divisors. In computer science, 116 is represented as 1110100 in binary and 74 in hexadecimal. Historically, it is written as CXVI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 29) reveals 3 prime building blocks.
Divisible by 2
116 ends in 6, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
116 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 8 is not a multiple of 9.
Divisible by 10
116 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 116 within several notable number theory sequences:
Timeline
Deep dive
How 116 breaks down
116 carries 6 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 94, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110100 supports bitwise reasoning, hexadecimal 74 aligns with computing notation, and the Roman numeral CXVI keeps the encyclopedic tradition alive. These attributes make 116 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 116 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (111–121) to tune search ranges, and educators feature 116 in worksheets about factor trees. Its binary footprint of length 7 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 116 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 116
Is 116 a prime number?
116 is composite with 6 total factors and the prime factorization 2^2 × 29.
What is the prime factorization of 116?
It breaks down as 2^2 × 29, multiplying the primes 2 × 2 × 29.
How is 116 represented in binary and hexadecimal?
116 converts to 1110100 in binary and 74 in hexadecimal, which are helpful for computer science applications.
Is 116 a perfect square, cube, or triangular number?
116 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 116?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.