1818
1818 is a even composite number that follows 1817 and precedes 1819. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818. Its prime factorization can be written as 2 × 3^2 × 101. 1818 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1818 is represented as 11100011010 in binary and 71A in hexadecimal. Historically, it is written as MDCCCXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 101) reveals 4 prime building blocks.
Divisible by 2
1818 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 18 are not divisible by 4.
Divisible by 5
1818 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 18 is a multiple of 9.
Divisible by 10
1818 does not end in 0.
Divisible by 11
The alternating digit sum -14 is not a multiple of 11.
Abundant classification and digit analytics place 1818 within several notable number theory sequences:
Timeline
Deep dive
How 1818 breaks down
1818 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2160, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11100011010 supports bitwise reasoning, hexadecimal 71A aligns with computing notation, and the Roman numeral MDCCCXVIII keeps the encyclopedic tradition alive. These attributes make 1818 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1818 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1813–1823) to tune search ranges, and educators feature 1818 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 1818 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 1818
Is 1818 a prime number?
1818 is composite with 12 total factors and the prime factorization 2 × 3^2 × 101.
What is the prime factorization of 1818?
It breaks down as 2 × 3^2 × 101, multiplying the primes 2 × 3 × 3 × 101.
How is 1818 represented in binary and hexadecimal?
1818 converts to 11100011010 in binary and 71A in hexadecimal, which are helpful for computer science applications.
Is 1818 a perfect square, cube, or triangular number?
1818 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1818?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.