148
148 is a even composite number that follows 147 and precedes 149. It is composed of 6 distinct factors: 1, 2, 4, 37, 74, 148. Its prime factorization can be written as 2^2 × 37. 148 is classified as a deficient number based on the sum of its proper divisors. In computer science, 148 is represented as 10010100 in binary and 94 in hexadecimal. Historically, it is written as CXLVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 37) reveals 3 prime building blocks.
Divisible by 2
148 ends in 8, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
148 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
148 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 148 within several notable number theory sequences:
Timeline
Deep dive
How 148 breaks down
148 carries 6 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 118, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010100 supports bitwise reasoning, hexadecimal 94 aligns with computing notation, and the Roman numeral CXLVIII keeps the encyclopedic tradition alive. These attributes make 148 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 148 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (143–153) to tune search ranges, and educators feature 148 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 148 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 148
Is 148 a prime number?
148 is composite with 6 total factors and the prime factorization 2^2 × 37.
What is the prime factorization of 148?
It breaks down as 2^2 × 37, multiplying the primes 2 × 2 × 37.
How is 148 represented in binary and hexadecimal?
148 converts to 10010100 in binary and 94 in hexadecimal, which are helpful for computer science applications.
Is 148 a perfect square, cube, or triangular number?
148 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 148?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.