The number 47726
47726 is a composite number with 12 divisors. Its prime factorisation is 2 × × 487. Divisors (12): 1, 2, 7, 14, 49, 98, 487, 974, 3409, 6818, 23863, 47726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47726 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47726 is composite. Its prime factorisation is
- 3
The divisors add up to 83448; without 47726 itself that is 35722, so 47726 is deficient (35722 is less than 47726). Euler's totient φ(47726) = 20412 numbers up to 47726 share no factor with it.
- 4
The digits of 47726 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 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47726 = 2 \times 7^{2} \times 487 \]47726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83448 |
| Euler totient φ(n) | 20412 |
| Square | 2277771076 |
| Cube | 108708902373176 |
| Square root | 218.462811 (= 7√974) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.7726 × |
47726 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and twenty-six |
| Binary (base 2) | 1011101001101110 |
| Octal (base 8) | 135156 |
| Hexadecimal (base 16) | BA6E |
| Base 3 | 2102110122 |
| As time | 47726 seconds = 13 h 15 min 26 s |
Is 47726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47726 ÷ 2 = 23863) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (47726 ÷ 7 = 6818) | 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 6) | 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 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47726 a prime number?
No. 47726 = 2 × × 487, so it is divisible by 2.
What are the factors of 47726?
1, 2, 7, 14, 49, 98, 487, 974, 3409, 6818, 23863, 47726.
What is 47726 in binary?
1011101001101110 (hexadecimal BA6E, octal 135156).
What is the square root of 47726?
About 218.4628, exactly 7√974.
Is 47726 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47726?
It is a composite number with 12 divisors.