3998
3998 is a even composite number that follows 3997 and precedes 3999. It is composed of 4 distinct factors: 1, 2, 1999, 3998. Its prime factorization can be written as 2 × 1999. 3998 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3998 is represented as 111110011110 in binary and F9E in hexadecimal. Historically, it is written as MMMCMXCVIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 1999) reveals 2 prime building blocks.
Divisible by 2
3998 ends in 8, so it is even.
Divisible by 3
The digit sum 29 is not a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
3998 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 29 is not a multiple of 9.
Divisible by 10
3998 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 3998 within several notable number theory sequences:
Timeline
Deep dive
How 3998 breaks down
3998 carries 4 distinct factors and a digit signature of 29 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 2002, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110011110 supports bitwise reasoning, hexadecimal F9E aligns with computing notation, and the Roman numeral MMMCMXCVIII keeps the encyclopedic tradition alive. These attributes make 3998 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3998 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3993–4003) to tune search ranges, and educators feature 3998 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 3998 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 3998
Is 3998 a prime number?
3998 is composite with 4 total factors and the prime factorization 2 × 1999.
What is the prime factorization of 3998?
It breaks down as 2 × 1999, multiplying the primes 2 × 1999.
How is 3998 represented in binary and hexadecimal?
3998 converts to 111110011110 in binary and F9E in hexadecimal, which are helpful for computer science applications.
Is 3998 a perfect square, cube, or triangular number?
3998 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3998?
The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.