7475
7475 is a odd composite number that follows 7474 and precedes 7476. It is composed of 12 distinct factors: 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475. Its prime factorization can be written as 5^2 × 13 × 23. 7475 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7475 is represented as 1110100110011 in binary and 1D33 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5^2 × 13 × 23) reveals 4 prime building blocks.
Divisible by 2
7475 ends in 5, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
7475 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 23 is not a multiple of 9.
Divisible by 10
7475 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 7475 within several notable number theory sequences:
Timeline
Deep dive
How 7475 breaks down
7475 carries 12 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2941, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110100110011 supports bitwise reasoning, hexadecimal 1D33 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7475 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7475 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7470–7480) to tune search ranges, and educators feature 7475 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 7475 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 7475
Is 7475 a prime number?
7475 is composite with 12 total factors and the prime factorization 5^2 × 13 × 23.
What is the prime factorization of 7475?
It breaks down as 5^2 × 13 × 23, multiplying the primes 5 × 5 × 13 × 23.
How is 7475 represented in binary and hexadecimal?
7475 converts to 1110100110011 in binary and 1D33 in hexadecimal, which are helpful for computer science applications.
Is 7475 a perfect square, cube, or triangular number?
7475 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7475?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.