The number 47682
47682 is a composite number with 16 divisors. Its prime factorisation is 2 × × 883. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 883, 1766, 2649, 5298, 7947, 15894, 23841, 47682.
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How to work it out
- 1
What is special about 47682: a Harshad number: divisible by its digit sum 27.
- 2
47682 is composite. Its prime factorisation is
- 3
The divisors add up to 106080; without 47682 itself that is 58398, so 47682 is abundant (58398 is more than 47682). Euler's totient φ(47682) = 15876 numbers up to 47682 share no factor with it.
- 4
The digits of 47682 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47682 = 2 \times 3^{3} \times 883 \]47682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106080 |
| Euler totient φ(n) | 15876 |
| Square | 2273573124 |
| Cube | 108408513698568 |
| Square root | 218.362085 (= 3√5298) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7682 × |
47682 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and eighty-two |
| Binary (base 2) | 1011101001000010 |
| Octal (base 8) | 135102 |
| Hexadecimal (base 16) | BA42 |
| Base 3 | 2102102000 |
| As time | 47682 seconds = 13 h 14 min 42 s |
Is 47682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47682 ÷ 2 = 23841) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47682 ÷ 3 = 15894) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47682 ÷ 6 = 7947) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47682 ÷ 9 = 5298) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47682 a prime number?
No. 47682 = 2 × × 883, so it is divisible by 2.
What are the factors of 47682?
1, 2, 3, 6, 9, 18, 27, 54, 883, 1766, 2649, 5298, 7947, 15894, 23841, 47682.
What is 47682 in binary?
1011101001000010 (hexadecimal BA42, octal 135102).
What is the square root of 47682?
About 218.3621, exactly 3√5298.
Is 47682 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47682?
47682 is a Harshad number: divisible by its digit sum 27.