2475
2475 is a odd composite number that follows 2474 and precedes 2476. It is composed of 18 distinct factors: 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475. Its prime factorization can be written as 3^2 × 5^2 × 11. 2475 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2475 is represented as 100110101011 in binary and 9AB in hexadecimal. Historically, it is written as MMCDLXXV in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (3^2 × 5^2 × 11) reveals 5 prime building blocks.
Divisible by 2
2475 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 75 are not divisible by 4.
Divisible by 5
2475 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
2475 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2475 within several notable number theory sequences:
Timeline
Deep dive
How 2475 breaks down
2475 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2361, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110101011 supports bitwise reasoning, hexadecimal 9AB aligns with computing notation, and the Roman numeral MMCDLXXV keeps the encyclopedic tradition alive. These attributes make 2475 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2475 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2470–2480) to tune search ranges, and educators feature 2475 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 2475 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 2475
Is 2475 a prime number?
2475 is composite with 18 total factors and the prime factorization 3^2 × 5^2 × 11.
What is the prime factorization of 2475?
It breaks down as 3^2 × 5^2 × 11, multiplying the primes 3 × 3 × 5 × 5 × 11.
How is 2475 represented in binary and hexadecimal?
2475 converts to 100110101011 in binary and 9AB in hexadecimal, which are helpful for computer science applications.
Is 2475 a perfect square, cube, or triangular number?
2475 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2475?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.