The number 47385
47385 is a composite number with 28 divisors. Its prime factorisation is × 5 × 13. Divisors (28): 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 243, 351 … 47385.
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How to work it out
- 1
What is special about 47385: a Harshad number: divisible by its digit sum 27.
- 2
47385 is composite. Its prime factorisation is
- 3
The divisors add up to 91812; without 47385 itself that is 44427, so 47385 is deficient (44427 is less than 47385). Euler's totient φ(47385) = 23328 numbers up to 47385 share no factor with it.
- 4
The digits of 47385 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47385 = 3^{6} \times 5 \times 13 \]47385 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 91812 |
| Euler totient φ(n) | 23328 |
| Square | 2245338225 |
| Cube | 106395351791625 |
| Square root | 217.680959 (= 27√65) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.7385 × |
47385 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and eighty-five |
| Binary (base 2) | 1011100100011001 |
| Octal (base 8) | 134431 |
| Hexadecimal (base 16) | B919 |
| Base 3 | 2102000000 |
| As time | 47385 seconds = 13 h 9 min 45 s |
Is 47385 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 (47385 ÷ 3 = 15795) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47385 ÷ 5 = 9477) | 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 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47385 ÷ 9 = 5265) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47385 a prime number?
No. 47385 = × 5 × 13, so it is divisible by 3.
What are the factors of 47385?
1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 243, 351, 405, 585, 729, 1053, 1215, 1755, 3159, 3645, 5265, 9477, 15795, 47385.
What is 47385 in binary?
1011100100011001 (hexadecimal B919, octal 134431).
What is the square root of 47385?
About 217.6810, exactly 27√65.
Is 47385 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47385?
47385 is a Harshad number: divisible by its digit sum 27.