The number 47268
47268 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 101. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 101, 117 … 47268.
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How to work it out
- 1
47268 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47268 is composite. Its prime factorisation is
- 3
The divisors add up to 129948; without 47268 itself that is 82680, so 47268 is abundant (82680 is more than 47268). Euler's totient φ(47268) = 14400 numbers up to 47268 share no factor with it.
- 4
The digits of 47268 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47268 = 2^{2} \times 3^{2} \times 13 \times 101 \]47268 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 129948 |
| Euler totient φ(n) | 14400 |
| Square | 2234263824 |
| Cube | 105609182432832 |
| Square root | 217.412051 (= 6√1313) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7268 × |
47268 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and sixty-eight |
| Binary (base 2) | 1011100010100100 |
| Octal (base 8) | 134244 |
| Hexadecimal (base 16) | B8A4 |
| Base 3 | 2101211200 |
| As time | 47268 seconds = 13 h 7 min 48 s |
Is 47268 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47268 ÷ 2 = 23634) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47268 ÷ 3 = 15756) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47268 ÷ 4 = 11817) | 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 (47268 ÷ 6 = 7878) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47268 ÷ 9 = 5252) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47268 ÷ 12 = 3939) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47268 a prime number?
No. 47268 = × × 13 × 101, so it is divisible by 2.
What are the factors of 47268?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 101, 117, 156, 202, 234, 303, 404, 468, 606, 909, 1212, 1313, 1818, 2626, 3636, 3939, 5252, 7878, 11817, 15756, 23634, 47268.
What is 47268 in binary?
1011100010100100 (hexadecimal B8A4, octal 134244).
What is the square root of 47268?
About 217.4121, exactly 6√1313.
Is 47268 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47268?
It is a composite number with 36 divisors.