1448
1448 is a even composite number that follows 1447 and precedes 1449. It is composed of 8 distinct factors: 1, 2, 4, 8, 181, 362, 724, 1448. Its prime factorization can be written as 2^3 × 181. 1448 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1448 is represented as 10110101000 in binary and 5A8 in hexadecimal. Historically, it is written as MCDXLVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 181) reveals 4 prime building blocks.
Divisible by 2
1448 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
1448 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 17 is not a multiple of 9.
Divisible by 10
1448 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 1448 within several notable number theory sequences:
Timeline
Deep dive
How 1448 breaks down
1448 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1282, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110101000 supports bitwise reasoning, hexadecimal 5A8 aligns with computing notation, and the Roman numeral MCDXLVIII keeps the encyclopedic tradition alive. These attributes make 1448 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1448 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1443–1453) to tune search ranges, and educators feature 1448 in worksheets about factor trees. Its binary footprint of length 11 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 1448 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 1448
Is 1448 a prime number?
1448 is composite with 8 total factors and the prime factorization 2^3 × 181.
What is the prime factorization of 1448?
It breaks down as 2^3 × 181, multiplying the primes 2 × 2 × 2 × 181.
How is 1448 represented in binary and hexadecimal?
1448 converts to 10110101000 in binary and 5A8 in hexadecimal, which are helpful for computer science applications.
Is 1448 a perfect square, cube, or triangular number?
1448 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1448?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.