13088
13088 is a even composite number that follows 13087 and precedes 13089. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 409, 818, 1636, 3272, 6544, 13088. Its prime factorization can be written as 2^5 × 409. 13088 is classified as a deficient number based on the sum of its proper divisors. In computer science, 13088 is represented as 11001100100000 in binary and 3320 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 409) reveals 6 prime building blocks.
Divisible by 2
13088 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
13088 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 20 is not a multiple of 9.
Divisible by 10
13088 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 13088 within several notable number theory sequences:
Timeline
Deep dive
How 13088 breaks down
13088 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 12742, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11001100100000 supports bitwise reasoning, hexadecimal 3320 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 13088 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 13088 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (13083–13093) to tune search ranges, and educators feature 13088 in worksheets about factor trees. Its binary footprint of length 14 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 13088 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 13088
Is 13088 a prime number?
13088 is composite with 12 total factors and the prime factorization 2^5 × 409.
What is the prime factorization of 13088?
It breaks down as 2^5 × 409, multiplying the primes 2 × 2 × 2 × 2 × 2 × 409.
How is 13088 represented in binary and hexadecimal?
13088 converts to 11001100100000 in binary and 3320 in hexadecimal, which are helpful for computer science applications.
Is 13088 a perfect square, cube, or triangular number?
13088 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 13088?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.