1518
1518 is a even composite number that follows 1517 and precedes 1519. It is composed of 16 distinct factors: 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518. Its prime factorization can be written as 2 × 3 × 11 × 23. 1518 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1518 is represented as 10111101110 in binary and 5EE in hexadecimal. Historically, it is written as MDXVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 11 × 23) reveals 4 prime building blocks.
Divisible by 2
1518 ends in 8, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 18 are not divisible by 4.
Divisible by 5
1518 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 15 is not a multiple of 9.
Divisible by 10
1518 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Abundant classification and digit analytics place 1518 within several notable number theory sequences:
Timeline
Deep dive
How 1518 breaks down
1518 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1938, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111101110 supports bitwise reasoning, hexadecimal 5EE aligns with computing notation, and the Roman numeral MDXVIII keeps the encyclopedic tradition alive. These attributes make 1518 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1518 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1513–1523) to tune search ranges, and educators feature 1518 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 1518 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 1518
Is 1518 a prime number?
1518 is composite with 16 total factors and the prime factorization 2 × 3 × 11 × 23.
What is the prime factorization of 1518?
It breaks down as 2 × 3 × 11 × 23, multiplying the primes 2 × 3 × 11 × 23.
How is 1518 represented in binary and hexadecimal?
1518 converts to 10111101110 in binary and 5EE in hexadecimal, which are helpful for computer science applications.
Is 1518 a perfect square, cube, or triangular number?
1518 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1518?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.