88
88 is a even composite number that follows 87 and precedes 89. It is composed of 8 distinct factors: 1, 2, 4, 8, 11, 22, 44, 88. Its prime factorization can be written as 2^3 × 11. 88 is classified as a abundant number based on the sum of its proper divisors. In computer science, 88 is represented as 1011000 in binary and 58 in hexadecimal. Historically, it is written as LXXXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 11) reveals 4 prime building blocks.
Divisible by 2
88 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
88 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 16 is not a multiple of 9.
Divisible by 10
88 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 88 within several notable number theory sequences:
Timeline
Deep dive
How 88 breaks down
88 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 92, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011000 supports bitwise reasoning, hexadecimal 58 aligns with computing notation, and the Roman numeral LXXXVIII keeps the encyclopedic tradition alive. These attributes make 88 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 88 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (83–93) to tune search ranges, and educators feature 88 in worksheets about factor trees. Its binary footprint of length 7 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 88 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 88
Is 88 a prime number?
88 is composite with 8 total factors and the prime factorization 2^3 × 11.
What is the prime factorization of 88?
It breaks down as 2^3 × 11, multiplying the primes 2 × 2 × 2 × 11.
How is 88 represented in binary and hexadecimal?
88 converts to 1011000 in binary and 58 in hexadecimal, which are helpful for computer science applications.
Is 88 a perfect square, cube, or triangular number?
88 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 88?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.