1254
1254 is a even composite number that follows 1253 and precedes 1255. It is composed of 16 distinct factors: 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. Its prime factorization can be written as 2 × 3 × 11 × 19. 1254 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1254 is represented as 10011100110 in binary and 4E6 in hexadecimal. Historically, it is written as MCCLIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 11 × 19) reveals 4 prime building blocks.
Divisible by 2
1254 ends in 4, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 54 are not divisible by 4.
Divisible by 5
1254 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 12 is not a multiple of 9.
Divisible by 10
1254 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 1254 within several notable number theory sequences:
Timeline
Deep dive
How 1254 breaks down
1254 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1626, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011100110 supports bitwise reasoning, hexadecimal 4E6 aligns with computing notation, and the Roman numeral MCCLIV keeps the encyclopedic tradition alive. These attributes make 1254 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1254 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1249–1259) to tune search ranges, and educators feature 1254 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, Abundant numbers) help historians, numerologists, and trivia writers tie 1254 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 1254
Is 1254 a prime number?
1254 is composite with 16 total factors and the prime factorization 2 × 3 × 11 × 19.
What is the prime factorization of 1254?
It breaks down as 2 × 3 × 11 × 19, multiplying the primes 2 × 3 × 11 × 19.
How is 1254 represented in binary and hexadecimal?
1254 converts to 10011100110 in binary and 4E6 in hexadecimal, which are helpful for computer science applications.
Is 1254 a perfect square, cube, or triangular number?
1254 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1254?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.