The number 4375
4375 is a composite number with 10 divisors. Its prime factorisation is × 7. Divisors (10): 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4375 is composite. Its prime factorisation is
- 3
The divisors add up to 6248; without 4375 itself that is 1873, so 4375 is deficient (1873 is less than 4375). Euler's totient φ(4375) = 3000 numbers up to 4375 share no factor with it.
- 4
The digits of 4375 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4375 = 5^{4} \times 7 \]4375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 6248 |
| Euler totient φ(n) | 3000 |
| Square | 19140625 |
| Cube | 83740234375 |
| Square root | 66.143783 (= 25√7) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.375 × |
4375 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and seventy-five |
| Binary (base 2) | 1000100010111 |
| Octal (base 8) | 10427 |
| Hexadecimal (base 16) | 1117 |
| Base 3 | 20000001 |
| As time | 4375 seconds = 1 h 12 min 55 s |
Is 4375 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4375 ÷ 5 = 875) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4375 ÷ 7 = 625) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4375 a prime number?
No. 4375 = × 7, so it is divisible by 5.
What are the factors of 4375?
1, 5, 7, 25, 35, 125, 175, 625, 875, 4375.
What is 4375 in binary?
1000100010111 (hexadecimal 1117, octal 10427).
What is the square root of 4375?
About 66.1438, exactly 25√7.
Is 4375 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4375?
It is a composite number with 10 divisors.