The number 47168
47168 is a composite number with 28 divisors. Its prime factorisation is × 11 × 67. Divisors (28): 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 67, 88, 134, 176, 268, 352 … 47168.
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How to work it out
- 1
47168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47168 is composite. Its prime factorisation is
- 3
The divisors add up to 103632; without 47168 itself that is 56464, so 47168 is abundant (56464 is more than 47168). Euler's totient φ(47168) = 21120 numbers up to 47168 share no factor with it.
- 4
The digits of 47168 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47168 = 2^{6} \times 11 \times 67 \]47168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 103632 |
| Euler totient φ(n) | 21120 |
| Square | 2224820224 |
| Cube | 104940320325632 |
| Square root | 217.181951 (= 8√737) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7168 × |
47168 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and sixty-eight |
| Binary (base 2) | 1011100001000000 |
| Octal (base 8) | 134100 |
| Hexadecimal (base 16) | B840 |
| Base 3 | 2101200222 |
| As time | 47168 seconds = 13 h 6 min 8 s |
Is 47168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47168 ÷ 2 = 23584) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47168 ÷ 4 = 11792) | 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 | No (remainder 2) | 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 | Yes (47168 ÷ 8 = 5896) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (47168 ÷ 11 = 4288) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47168 a prime number?
No. 47168 = × 11 × 67, so it is divisible by 2.
What are the factors of 47168?
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 67, 88, 134, 176, 268, 352, 536, 704, 737, 1072, 1474, 2144, 2948, 4288, 5896, 11792, 23584, 47168.
What is 47168 in binary?
1011100001000000 (hexadecimal B840, octal 134100).
What is the square root of 47168?
About 217.1820, exactly 8√737.
Is 47168 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47168?
It is a composite number with 28 divisors.