4018
4018 is a even composite number that follows 4017 and precedes 4019. It is composed of 12 distinct factors: 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018. Its prime factorization can be written as 2 × 7^2 × 41. 4018 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4018 is represented as 111110110010 in binary and FB2 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 7^2 × 41) reveals 4 prime building blocks.
Divisible by 2
4018 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
4018 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
4018 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 4018 within several notable number theory sequences:
Timeline
Deep dive
How 4018 breaks down
4018 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 3164, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110110010 supports bitwise reasoning, hexadecimal FB2 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4018 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4018 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4013–4023) to tune search ranges, and educators feature 4018 in worksheets about factor trees. Its binary footprint of length 12 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 4018 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 4018
Is 4018 a prime number?
4018 is composite with 12 total factors and the prime factorization 2 × 7^2 × 41.
What is the prime factorization of 4018?
It breaks down as 2 × 7^2 × 41, multiplying the primes 2 × 7 × 7 × 41.
How is 4018 represented in binary and hexadecimal?
4018 converts to 111110110010 in binary and FB2 in hexadecimal, which are helpful for computer science applications.
Is 4018 a perfect square, cube, or triangular number?
4018 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4018?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.