2745
2745 is a odd composite number that follows 2744 and precedes 2746. It is composed of 12 distinct factors: 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745. Its prime factorization can be written as 3^2 × 5 × 61. 2745 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2745 is represented as 101010111001 in binary and AB9 in hexadecimal. Historically, it is written as MMDCCXLV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 5 × 61) reveals 4 prime building blocks.
Divisible by 2
2745 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 45 are not divisible by 4.
Divisible by 5
2745 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 18 is a multiple of 9.
Divisible by 10
2745 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2745 within several notable number theory sequences:
Timeline
Deep dive
How 2745 breaks down
2745 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2091, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010111001 supports bitwise reasoning, hexadecimal AB9 aligns with computing notation, and the Roman numeral MMDCCXLV keeps the encyclopedic tradition alive. These attributes make 2745 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2745 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2740–2750) to tune search ranges, and educators feature 2745 in worksheets about factor trees. Its binary footprint of length 12 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 2745 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 2745
Is 2745 a prime number?
2745 is composite with 12 total factors and the prime factorization 3^2 × 5 × 61.
What is the prime factorization of 2745?
It breaks down as 3^2 × 5 × 61, multiplying the primes 3 × 3 × 5 × 61.
How is 2745 represented in binary and hexadecimal?
2745 converts to 101010111001 in binary and AB9 in hexadecimal, which are helpful for computer science applications.
Is 2745 a perfect square, cube, or triangular number?
2745 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2745?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.