247
247 is a odd composite number that follows 246 and precedes 248. It is composed of 4 distinct factors: 1, 13, 19, 247. Its prime factorization can be written as 13 × 19. 247 is classified as a deficient number based on the sum of its proper divisors. In computer science, 247 is represented as 11110111 in binary and F7 in hexadecimal. Historically, it is written as CCXLVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 19) reveals 2 prime building blocks.
Divisible by 2
247 ends in 7, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
247 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 13 is not a multiple of 9.
Divisible by 10
247 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 247 within several notable number theory sequences:
Timeline
Deep dive
How 247 breaks down
247 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 33, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110111 supports bitwise reasoning, hexadecimal F7 aligns with computing notation, and the Roman numeral CCXLVII keeps the encyclopedic tradition alive. These attributes make 247 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 247 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (242–252) to tune search ranges, and educators feature 247 in worksheets about factor trees. Its binary footprint of length 8 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 247 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 247
Is 247 a prime number?
247 is composite with 4 total factors and the prime factorization 13 × 19.
What is the prime factorization of 247?
It breaks down as 13 × 19, multiplying the primes 13 × 19.
How is 247 represented in binary and hexadecimal?
247 converts to 11110111 in binary and F7 in hexadecimal, which are helpful for computer science applications.
Is 247 a perfect square, cube, or triangular number?
247 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 247?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.