107
107 is a odd prime number that follows 106 and precedes 108. As a prime number, 107 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 107. 107 is classified as a deficient number based on the sum of its proper divisors. In computer science, 107 is represented as 1101011 in binary and 6B in hexadecimal. Historically, it is written as CVII in Roman numerals.
Factor Analysis
2 FactorsProperties
107 is prime, so its only factors are 1 and 107.
Divisible by 2
107 ends in 7, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
107 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
107 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 107 within several notable number theory sequences:
Timeline
Deep dive
How 107 breaks down
107 carries 2 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011 supports bitwise reasoning, hexadecimal 6B aligns with computing notation, and the Roman numeral CVII keeps the encyclopedic tradition alive. These attributes make 107 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 107 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (102–112) to tune search ranges, and educators feature 107 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 107 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 107
Is 107 a prime number?
107 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 107?
107 is already prime, so the factorization is simply 107.
How is 107 represented in binary and hexadecimal?
107 converts to 1101011 in binary and 6B in hexadecimal, which are helpful for computer science applications.
Is 107 a perfect square, cube, or triangular number?
107 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 107?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.