26
26 is a even composite number that follows 25 and precedes 27. It is composed of 4 distinct factors: 1, 2, 13, 26. Its prime factorization can be written as 2 × 13. 26 is classified as a deficient number based on the sum of its proper divisors. In computer science, 26 is represented as 11010 in binary and 1A in hexadecimal. Historically, it is written as XXVI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 13) reveals 2 prime building blocks.
Divisible by 2
26 ends in 6, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
26 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 8 is not a multiple of 9.
Divisible by 10
26 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 26 within several notable number theory sequences:
Timeline
Deep dive
How 26 breaks down
26 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 16, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010 supports bitwise reasoning, hexadecimal 1A aligns with computing notation, and the Roman numeral XXVI keeps the encyclopedic tradition alive. These attributes make 26 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 26 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (21–31) to tune search ranges, and educators feature 26 in worksheets about factor trees. Its binary footprint of length 5 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 26 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 26
Is 26 a prime number?
26 is composite with 4 total factors and the prime factorization 2 × 13.
What is the prime factorization of 26?
It breaks down as 2 × 13, multiplying the primes 2 × 13.
How is 26 represented in binary and hexadecimal?
26 converts to 11010 in binary and 1A in hexadecimal, which are helpful for computer science applications.
Is 26 a perfect square, cube, or triangular number?
26 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 26?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.