1988
1988 is a even composite number that follows 1987 and precedes 1989. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988. Its prime factorization can be written as 2^2 × 7 × 71. 1988 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1988 is represented as 11111000100 in binary and 7C4 in hexadecimal. Historically, it is written as MCMLXXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 71) reveals 4 prime building blocks.
Divisible by 2
1988 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
1988 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 26 is not a multiple of 9.
Divisible by 10
1988 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 1988 within several notable number theory sequences:
Timeline
Deep dive
How 1988 breaks down
1988 carries 12 distinct factors and a digit signature of 26 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 2044, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111000100 supports bitwise reasoning, hexadecimal 7C4 aligns with computing notation, and the Roman numeral MCMLXXXVIII keeps the encyclopedic tradition alive. These attributes make 1988 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1988 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1983–1993) to tune search ranges, and educators feature 1988 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 1988 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 1988
Is 1988 a prime number?
1988 is composite with 12 total factors and the prime factorization 2^2 × 7 × 71.
What is the prime factorization of 1988?
It breaks down as 2^2 × 7 × 71, multiplying the primes 2 × 2 × 7 × 71.
How is 1988 represented in binary and hexadecimal?
1988 converts to 11111000100 in binary and 7C4 in hexadecimal, which are helpful for computer science applications.
Is 1988 a perfect square, cube, or triangular number?
1988 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1988?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.