948
948 is a even composite number that follows 947 and precedes 949. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. Its prime factorization can be written as 2^2 × 3 × 79. 948 is classified as a abundant number based on the sum of its proper divisors. In computer science, 948 is represented as 1110110100 in binary and 3B4 in hexadecimal. Historically, it is written as CMXLVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 79) reveals 4 prime building blocks.
Divisible by 2
948 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
948 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
948 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Abundant classification and digit analytics place 948 within several notable number theory sequences:
Timeline
Deep dive
How 948 breaks down
948 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1292, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110110100 supports bitwise reasoning, hexadecimal 3B4 aligns with computing notation, and the Roman numeral CMXLVIII keeps the encyclopedic tradition alive. These attributes make 948 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 948 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (943–953) to tune search ranges, and educators feature 948 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 948 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 948
Is 948 a prime number?
948 is composite with 12 total factors and the prime factorization 2^2 × 3 × 79.
What is the prime factorization of 948?
It breaks down as 2^2 × 3 × 79, multiplying the primes 2 × 2 × 3 × 79.
How is 948 represented in binary and hexadecimal?
948 converts to 1110110100 in binary and 3B4 in hexadecimal, which are helpful for computer science applications.
Is 948 a perfect square, cube, or triangular number?
948 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 948?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.