The number 47685
47685 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × 11 × . Divisors (24): 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 289, 561, 867 … 47685.
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How to work it out
- 1
What is special about 47685: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47685 is composite. Its prime factorisation is
- 3
The divisors add up to 88416; without 47685 itself that is 40731, so 47685 is deficient (40731 is less than 47685). Euler's totient φ(47685) = 21760 numbers up to 47685 share no factor with it.
- 4
The digits of 47685 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47685 = 3 \times 5 \times 11 \times 17^{2} \]47685 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 88416 |
| Euler totient φ(n) | 21760 |
| Square | 2273859225 |
| Cube | 108428977144125 |
| Square root | 218.368954 (= 17√165) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7685 × |
47685 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and eighty-five |
| Binary (base 2) | 1011101001000101 |
| Octal (base 8) | 135105 |
| Hexadecimal (base 16) | BA45 |
| Base 3 | 2102102010 |
| As time | 47685 seconds = 13 h 14 min 45 s |
Is 47685 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 (47685 ÷ 3 = 15895) | 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 (47685 ÷ 5 = 9537) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (47685 ÷ 11 = 4335) | 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 47685 a prime number?
No. 47685 = 3 × 5 × 11 × , so it is divisible by 3.
What are the factors of 47685?
1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 289, 561, 867, 935, 1445, 2805, 3179, 4335, 9537, 15895, 47685.
What is 47685 in binary?
1011101001000101 (hexadecimal BA45, octal 135105).
What is the square root of 47685?
About 218.3690, exactly 17√165.
Is 47685 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47685?
47685 is a happy number: repeatedly adding the squares of its digits reaches 1.