5475
5475 is a odd composite number that follows 5474 and precedes 5476. It is composed of 12 distinct factors: 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475. Its prime factorization can be written as 3 × 5^2 × 73. 5475 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5475 is represented as 1010101100011 in binary and 1563 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 5^2 × 73) reveals 4 prime building blocks.
Divisible by 2
5475 ends in 5, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
5475 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 21 is not a multiple of 9.
Divisible by 10
5475 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 5475 within several notable number theory sequences:
Timeline
Deep dive
How 5475 breaks down
5475 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 3701, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010101100011 supports bitwise reasoning, hexadecimal 1563 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5475 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5475 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5470–5480) to tune search ranges, and educators feature 5475 in worksheets about factor trees. Its binary footprint of length 13 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 5475 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 5475
Is 5475 a prime number?
5475 is composite with 12 total factors and the prime factorization 3 × 5^2 × 73.
What is the prime factorization of 5475?
It breaks down as 3 × 5^2 × 73, multiplying the primes 3 × 5 × 5 × 73.
How is 5475 represented in binary and hexadecimal?
5475 converts to 1010101100011 in binary and 1563 in hexadecimal, which are helpful for computer science applications.
Is 5475 a perfect square, cube, or triangular number?
5475 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5475?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.