The number 47688
47688 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1987. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1987, 3974, 5961, 7948, 11922, 15896, 23844, 47688.
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How to work it out
- 1
47688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47688 is composite. Its prime factorisation is
- 3
The divisors add up to 119280; without 47688 itself that is 71592, so 47688 is abundant (71592 is more than 47688). Euler's totient φ(47688) = 15888 numbers up to 47688 share no factor with it.
- 4
The digits of 47688 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47688 = 2^{3} \times 3 \times 1987 \]47688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 119280 |
| Euler totient φ(n) | 15888 |
| Square | 2274145344 |
| Cube | 108449443164672 |
| Square root | 218.375823 (= 2√11922) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7688 × |
47688 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and eighty-eight |
| Binary (base 2) | 1011101001001000 |
| Octal (base 8) | 135110 |
| Hexadecimal (base 16) | BA48 |
| Base 3 | 2102102020 |
| As time | 47688 seconds = 13 h 14 min 48 s |
Is 47688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47688 ÷ 2 = 23844) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47688 ÷ 3 = 15896) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47688 ÷ 4 = 11922) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47688 ÷ 6 = 7948) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (47688 ÷ 8 = 5961) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47688 ÷ 12 = 3974) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47688 a prime number?
No. 47688 = × 3 × 1987, so it is divisible by 2.
What are the factors of 47688?
1, 2, 3, 4, 6, 8, 12, 24, 1987, 3974, 5961, 7948, 11922, 15896, 23844, 47688.
What is 47688 in binary?
1011101001001000 (hexadecimal BA48, octal 135110).
What is the square root of 47688?
About 218.3758, exactly 2√11922.
Is 47688 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 47688?
It is a composite number with 16 divisors.