1245
1245 is a odd composite number that follows 1244 and precedes 1246. It is composed of 8 distinct factors: 1, 3, 5, 15, 83, 249, 415, 1245. Its prime factorization can be written as 3 × 5 × 83. 1245 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1245 is represented as 10011011101 in binary and 4DD in hexadecimal. Historically, it is written as MCCXLV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 5 × 83) reveals 3 prime building blocks.
Divisible by 2
1245 ends in 5, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 45 are not divisible by 4.
Divisible by 5
1245 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
1245 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 1245 within several notable number theory sequences:
Timeline
Deep dive
How 1245 breaks down
1245 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 771, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011011101 supports bitwise reasoning, hexadecimal 4DD aligns with computing notation, and the Roman numeral MCCXLV keeps the encyclopedic tradition alive. These attributes make 1245 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1245 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1240–1250) to tune search ranges, and educators feature 1245 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 1245 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 1245
Is 1245 a prime number?
1245 is composite with 8 total factors and the prime factorization 3 × 5 × 83.
What is the prime factorization of 1245?
It breaks down as 3 × 5 × 83, multiplying the primes 3 × 5 × 83.
How is 1245 represented in binary and hexadecimal?
1245 converts to 10011011101 in binary and 4DD in hexadecimal, which are helpful for computer science applications.
Is 1245 a perfect square, cube, or triangular number?
1245 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1245?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.