114
114 is a even composite number that follows 113 and precedes 115. It is composed of 8 distinct factors: 1, 2, 3, 6, 19, 38, 57, 114. Its prime factorization can be written as 2 × 3 × 19. 114 is classified as a abundant number based on the sum of its proper divisors. In computer science, 114 is represented as 1110010 in binary and 72 in hexadecimal. Historically, it is written as CXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 19) reveals 3 prime building blocks.
Divisible by 2
114 ends in 4, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 14 are not divisible by 4.
Divisible by 5
114 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 6 is not a multiple of 9.
Divisible by 10
114 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 114 within several notable number theory sequences:
Timeline
Deep dive
How 114 breaks down
114 carries 8 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 126, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110010 supports bitwise reasoning, hexadecimal 72 aligns with computing notation, and the Roman numeral CXIV keeps the encyclopedic tradition alive. These attributes make 114 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 114 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (109–119) to tune search ranges, and educators feature 114 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, Abundant numbers) help historians, numerologists, and trivia writers tie 114 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 114
Is 114 a prime number?
114 is composite with 8 total factors and the prime factorization 2 × 3 × 19.
What is the prime factorization of 114?
It breaks down as 2 × 3 × 19, multiplying the primes 2 × 3 × 19.
How is 114 represented in binary and hexadecimal?
114 converts to 1110010 in binary and 72 in hexadecimal, which are helpful for computer science applications.
Is 114 a perfect square, cube, or triangular number?
114 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 114?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.