The number 48375
48375 is a composite number with 24 divisors. Its prime factorisation is × × 43. Divisors (24): 1, 3, 5, 9, 15, 25, 43, 45, 75, 125, 129, 215, 225, 375, 387, 645 … 48375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48375 is composite. Its prime factorisation is
- 3
The divisors add up to 89232; without 48375 itself that is 40857, so 48375 is deficient (40857 is less than 48375). Euler's totient φ(48375) = 25200 numbers up to 48375 share no factor with it.
- 4
The digits of 48375 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48375 = 3^{2} \times 5^{3} \times 43 \]48375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89232 |
| Euler totient φ(n) | 25200 |
| Square | 2340140625 |
| Cube | 113204302734375 |
| Square root | 219.943174 (= 15√215) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8375 × |
48375 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and seventy-five |
| Binary (base 2) | 1011110011110111 |
| Octal (base 8) | 136367 |
| Hexadecimal (base 16) | BCF7 |
| Base 3 | 2110100200 |
| As time | 48375 seconds = 13 h 26 min 15 s |
Is 48375 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 | Yes (48375 ÷ 3 = 16125) | 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 (48375 ÷ 5 = 9675) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (48375 ÷ 9 = 5375) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48375 a prime number?
No. 48375 = × × 43, so it is divisible by 3.
What are the factors of 48375?
1, 3, 5, 9, 15, 25, 43, 45, 75, 125, 129, 215, 225, 375, 387, 645, 1075, 1125, 1935, 3225, 5375, 9675, 16125, 48375.
What is 48375 in binary?
1011110011110111 (hexadecimal BCF7, octal 136367).
What is the square root of 48375?
About 219.9432, exactly 15√215.
Is 48375 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48375?
It is a composite number with 24 divisors.