The number 47311
47311 is a composite number with 12 divisors. Its prime factorisation is × 17 × 23. Divisors (12): 1, 11, 17, 23, 121, 187, 253, 391, 2057, 2783, 4301, 47311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47311 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47311 is composite. Its prime factorisation is
- 3
The divisors add up to 57456; without 47311 itself that is 10145, so 47311 is deficient (10145 is less than 47311). Euler's totient φ(47311) = 38720 numbers up to 47311 share no factor with it.
- 4
The digits of 47311 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 251 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47311 = 11^{2} \times 17 \times 23 \]47311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57456 |
| Euler totient φ(n) | 38720 |
| Square | 2238330721 |
| Cube | 105897664741231 |
| Square root | 217.510919 (= 11√391) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 251 |
| Scientific notation | 4.7311 × |
47311 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and eleven |
| Binary (base 2) | 1011100011001111 |
| Octal (base 8) | 134317 |
| Hexadecimal (base 16) | B8CF |
| Base 3 | 2101220021 |
| As time | 47311 seconds = 13 h 8 min 31 s |
Is 47311 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47311 ÷ 11 = 4301) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47311 a prime number?
No. 47311 = × 17 × 23, so it is divisible by 11.
What are the factors of 47311?
1, 11, 17, 23, 121, 187, 253, 391, 2057, 2783, 4301, 47311.
What is 47311 in binary?
1011100011001111 (hexadecimal B8CF, octal 134317).
What is the square root of 47311?
About 217.5109, exactly 11√391.
Is 47311 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47311?
It is a composite number with 12 divisors.