926
926 is a even composite number that follows 925 and precedes 927. It is composed of 4 distinct factors: 1, 2, 463, 926. Its prime factorization can be written as 2 × 463. 926 is classified as a deficient number based on the sum of its proper divisors. In computer science, 926 is represented as 1110011110 in binary and 39E in hexadecimal. Historically, it is written as CMXXVI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 463) reveals 2 prime building blocks.
Divisible by 2
926 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
926 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 17 is not a multiple of 9.
Divisible by 10
926 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 926 within several notable number theory sequences:
Timeline
Deep dive
How 926 breaks down
926 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 466, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011110 supports bitwise reasoning, hexadecimal 39E aligns with computing notation, and the Roman numeral CMXXVI keeps the encyclopedic tradition alive. These attributes make 926 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 926 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (921–931) to tune search ranges, and educators feature 926 in worksheets about factor trees. Its binary footprint of length 10 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 926 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 926
Is 926 a prime number?
926 is composite with 4 total factors and the prime factorization 2 × 463.
What is the prime factorization of 926?
It breaks down as 2 × 463, multiplying the primes 2 × 463.
How is 926 represented in binary and hexadecimal?
926 converts to 1110011110 in binary and 39E in hexadecimal, which are helpful for computer science applications.
Is 926 a perfect square, cube, or triangular number?
926 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 926?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.