418
418 is a even composite number that follows 417 and precedes 419. It is composed of 8 distinct factors: 1, 2, 11, 19, 22, 38, 209, 418. Its prime factorization can be written as 2 × 11 × 19. 418 is classified as a deficient number based on the sum of its proper divisors. In computer science, 418 is represented as 110100010 in binary and 1A2 in hexadecimal. Historically, it is written as CDXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 11 × 19) reveals 3 prime building blocks.
Divisible by 2
418 ends in 8, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 18 are not divisible by 4.
Divisible by 5
418 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 13 is not a multiple of 9.
Divisible by 10
418 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 418 within several notable number theory sequences:
Timeline
Deep dive
How 418 breaks down
418 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 302, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100010 supports bitwise reasoning, hexadecimal 1A2 aligns with computing notation, and the Roman numeral CDXVIII keeps the encyclopedic tradition alive. These attributes make 418 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 418 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (413–423) to tune search ranges, and educators feature 418 in worksheets about factor trees. Its binary footprint of length 9 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 418 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 418
Is 418 a prime number?
418 is composite with 8 total factors and the prime factorization 2 × 11 × 19.
What is the prime factorization of 418?
It breaks down as 2 × 11 × 19, multiplying the primes 2 × 11 × 19.
How is 418 represented in binary and hexadecimal?
418 converts to 110100010 in binary and 1A2 in hexadecimal, which are helpful for computer science applications.
Is 418 a perfect square, cube, or triangular number?
418 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 418?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.