106
106 is a even composite number that follows 105 and precedes 107. It is composed of 4 distinct factors: 1, 2, 53, 106. Its prime factorization can be written as 2 × 53. 106 is classified as a deficient number based on the sum of its proper divisors. In computer science, 106 is represented as 1101010 in binary and 6A in hexadecimal. Historically, it is written as CVI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 53) reveals 2 prime building blocks.
Divisible by 2
106 ends in 6, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
106 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 7 is not a multiple of 9.
Divisible by 10
106 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 106 within several notable number theory sequences:
Timeline
Deep dive
How 106 breaks down
106 carries 4 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 56, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101010 supports bitwise reasoning, hexadecimal 6A aligns with computing notation, and the Roman numeral CVI keeps the encyclopedic tradition alive. These attributes make 106 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 106 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (101–111) to tune search ranges, and educators feature 106 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, Deficient numbers) help historians, numerologists, and trivia writers tie 106 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 106
Is 106 a prime number?
106 is composite with 4 total factors and the prime factorization 2 × 53.
What is the prime factorization of 106?
It breaks down as 2 × 53, multiplying the primes 2 × 53.
How is 106 represented in binary and hexadecimal?
106 converts to 1101010 in binary and 6A in hexadecimal, which are helpful for computer science applications.
Is 106 a perfect square, cube, or triangular number?
106 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 106?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.