The number 8375
8375 is a composite number with 8 divisors. Its prime factorisation is Ć 67. Divisors (8): 1, 5, 25, 67, 125, 335, 1675, 8375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8375 is composite. Its prime factorisation is
- 3
The divisors add up to 10608; without 8375 itself that is 2233, so 8375 is deficient (2233 is less than 8375). Euler's totient Ļ(8375) = 6600 numbers up to 8375 share no factor with it.
- 4
The digits of 8375 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8375 = 5^{3} \times 67 \]8375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10608 |
| Euler totient Ļ(n) | 6600 |
| Square | 70140625 |
| Cube | 587427734375 |
| Square root | 91.515026 (= 5ā335) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.375 Ć |
8375 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and seventy-five |
| Binary (base 2) | 10000010110111 |
| Octal (base 8) | 20267 |
| Hexadecimal (base 16) | 20B7 |
| Base 3 | 102111012 |
| As time | 8375 seconds = 2 h 19 min 35 s |
Is 8375 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 2) | 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 (8375 Ć· 5 = 1675) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8375 a prime number?
No. 8375 = Ć 67, so it is divisible by 5.
What are the factors of 8375?
1, 5, 25, 67, 125, 335, 1675, 8375.
What is 8375 in binary?
10000010110111 (hexadecimal 20B7, octal 20267).
What is the square root of 8375?
About 91.5150, exactly 5ā335.
Is 8375 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 8375?
It is a composite number with 8 divisors.