307
307 is a odd prime number that follows 306 and precedes 308. As a prime number, 307 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 307. 307 is classified as a deficient number based on the sum of its proper divisors. In computer science, 307 is represented as 100110011 in binary and 133 in hexadecimal. Historically, it is written as CCCVII in Roman numerals.
Factor Analysis
2 FactorsProperties
307 is prime, so its only factors are 1 and 307.
Divisible by 2
307 ends in 7, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
307 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 10 is not a multiple of 9.
Divisible by 10
307 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 307 within several notable number theory sequences:
Timeline
Deep dive
How 307 breaks down
307 carries 2 distinct factors and a digit signature of 10 (1 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 100110011 supports bitwise reasoning, hexadecimal 133 aligns with computing notation, and the Roman numeral CCCVII keeps the encyclopedic tradition alive. These attributes make 307 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 307 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (302–312) to tune search ranges, and educators feature 307 in worksheets about prime identification. Its binary footprint of length 9 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 307 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 307
Is 307 a prime number?
307 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 307?
307 is already prime, so the factorization is simply 307.
How is 307 represented in binary and hexadecimal?
307 converts to 100110011 in binary and 133 in hexadecimal, which are helpful for computer science applications.
Is 307 a perfect square, cube, or triangular number?
307 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 307?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.