988
988 is a even composite number that follows 987 and precedes 989. It is composed of 12 distinct factors: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. Its prime factorization can be written as 2^2 × 13 × 19. 988 is classified as a deficient number based on the sum of its proper divisors. In computer science, 988 is represented as 1111011100 in binary and 3DC in hexadecimal. Historically, it is written as CMLXXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 19) reveals 4 prime building blocks.
Divisible by 2
988 ends in 8, so it is even.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
988 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 25 is not a multiple of 9.
Divisible by 10
988 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 988 within several notable number theory sequences:
Timeline
Deep dive
How 988 breaks down
988 carries 12 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 972, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111011100 supports bitwise reasoning, hexadecimal 3DC aligns with computing notation, and the Roman numeral CMLXXXVIII keeps the encyclopedic tradition alive. These attributes make 988 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 988 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (983–993) to tune search ranges, and educators feature 988 in worksheets about factor trees. Its binary footprint of length 10 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 988 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 988
Is 988 a prime number?
988 is composite with 12 total factors and the prime factorization 2^2 × 13 × 19.
What is the prime factorization of 988?
It breaks down as 2^2 × 13 × 19, multiplying the primes 2 × 2 × 13 × 19.
How is 988 represented in binary and hexadecimal?
988 converts to 1111011100 in binary and 3DC in hexadecimal, which are helpful for computer science applications.
Is 988 a perfect square, cube, or triangular number?
988 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 988?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.