245
245 is a odd composite number that follows 244 and precedes 246. It is composed of 6 distinct factors: 1, 5, 7, 35, 49, 245. Its prime factorization can be written as 5 × 7^2. 245 is classified as a deficient number based on the sum of its proper divisors. In computer science, 245 is represented as 11110101 in binary and F5 in hexadecimal. Historically, it is written as CCXLV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5 × 7^2) reveals 3 prime building blocks.
Divisible by 2
245 ends in 5, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 45 are not divisible by 4.
Divisible by 5
245 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
245 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 245 within several notable number theory sequences:
Timeline
Deep dive
How 245 breaks down
245 carries 6 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 97, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110101 supports bitwise reasoning, hexadecimal F5 aligns with computing notation, and the Roman numeral CCXLV keeps the encyclopedic tradition alive. These attributes make 245 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 245 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (240–250) to tune search ranges, and educators feature 245 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 245 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 245
Is 245 a prime number?
245 is composite with 6 total factors and the prime factorization 5 × 7^2.
What is the prime factorization of 245?
It breaks down as 5 × 7^2, multiplying the primes 5 × 7 × 7.
How is 245 represented in binary and hexadecimal?
245 converts to 11110101 in binary and F5 in hexadecimal, which are helpful for computer science applications.
Is 245 a perfect square, cube, or triangular number?
245 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 245?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.