26988
26988 is a even composite number that follows 26987 and precedes 26989. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 173, 346, 519, 692, 1038, 2076, 2249, 4498, 6747, 8996, 13494, 26988. Its prime factorization can be written as 2^2 × 3 × 13 × 173. 26988 is classified as a abundant number based on the sum of its proper divisors. In computer science, 26988 is represented as 110100101101100 in binary and 696C in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 13 × 173) reveals 5 prime building blocks.
Divisible by 2
26988 ends in 8, so it is even.
Divisible by 3
The digit sum 33 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
26988 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 33 is not a multiple of 9.
Divisible by 10
26988 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 26988 within several notable number theory sequences:
Timeline
Deep dive
How 26988 breaks down
26988 carries 24 distinct factors and a digit signature of 33 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 41220, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100101101100 supports bitwise reasoning, hexadecimal 696C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 26988 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 26988 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (26983–26993) to tune search ranges, and educators feature 26988 in worksheets about factor trees. Its binary footprint of length 15 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 26988 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 26988
Is 26988 a prime number?
26988 is composite with 24 total factors and the prime factorization 2^2 × 3 × 13 × 173.
What is the prime factorization of 26988?
It breaks down as 2^2 × 3 × 13 × 173, multiplying the primes 2 × 2 × 3 × 13 × 173.
How is 26988 represented in binary and hexadecimal?
26988 converts to 110100101101100 in binary and 696C in hexadecimal, which are helpful for computer science applications.
Is 26988 a perfect square, cube, or triangular number?
26988 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 26988?
The digits sum to 33, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.