248
248 is a even composite number that follows 247 and precedes 249. It is composed of 8 distinct factors: 1, 2, 4, 8, 31, 62, 124, 248. Its prime factorization can be written as 2^3 × 31. 248 is classified as a deficient number based on the sum of its proper divisors. In computer science, 248 is represented as 11111000 in binary and F8 in hexadecimal. Historically, it is written as CCXLVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 31) reveals 4 prime building blocks.
Divisible by 2
248 ends in 8, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
248 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 14 is not a multiple of 9.
Divisible by 10
248 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 248 within several notable number theory sequences:
Timeline
Deep dive
How 248 breaks down
248 carries 8 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 232, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111000 supports bitwise reasoning, hexadecimal F8 aligns with computing notation, and the Roman numeral CCXLVIII keeps the encyclopedic tradition alive. These attributes make 248 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 248 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (243–253) to tune search ranges, and educators feature 248 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 248 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 248
Is 248 a prime number?
248 is composite with 8 total factors and the prime factorization 2^3 × 31.
What is the prime factorization of 248?
It breaks down as 2^3 × 31, multiplying the primes 2 × 2 × 2 × 31.
How is 248 represented in binary and hexadecimal?
248 converts to 11111000 in binary and F8 in hexadecimal, which are helpful for computer science applications.
Is 248 a perfect square, cube, or triangular number?
248 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 248?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.