4375
4375 is a odd composite number that follows 4374 and precedes 4376. It is composed of 10 distinct factors: 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. Its prime factorization can be written as 5^4 × 7. 4375 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4375 is represented as 1000100010111 in binary and 1117 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (5^4 × 7) reveals 5 prime building blocks.
Divisible by 2
4375 ends in 5, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
4375 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 19 is not a multiple of 9.
Divisible by 10
4375 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 4375 within several notable number theory sequences:
Timeline
Deep dive
How 4375 breaks down
4375 carries 10 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1873, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100010111 supports bitwise reasoning, hexadecimal 1117 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4375 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4375 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4370–4380) to tune search ranges, and educators feature 4375 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 4375 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 4375
Is 4375 a prime number?
4375 is composite with 10 total factors and the prime factorization 5^4 × 7.
What is the prime factorization of 4375?
It breaks down as 5^4 × 7, multiplying the primes 5 × 5 × 5 × 5 × 7.
How is 4375 represented in binary and hexadecimal?
4375 converts to 1000100010111 in binary and 1117 in hexadecimal, which are helpful for computer science applications.
Is 4375 a perfect square, cube, or triangular number?
4375 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4375?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.