The number 47115
47115 is a composite number with 16 divisors. Its prime factorisation is × 5 × 349. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 349, 1047, 1745, 3141, 5235, 9423, 15705, 47115.
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How to work it out
- 1
47115 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47115 is composite. Its prime factorisation is
- 3
The divisors add up to 84000; without 47115 itself that is 36885, so 47115 is deficient (36885 is less than 47115). Euler's totient φ(47115) = 25056 numbers up to 47115 share no factor with it.
- 4
The digits of 47115 add up to 18, 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
\[ 47115 = 3^{3} \times 5 \times 349 \]47115 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84000 |
| Euler totient φ(n) | 25056 |
| Square | 2219823225 |
| Cube | 104586971245875 |
| Square root | 217.059900 (= 3√5235) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7115 × |
47115 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and fifteen |
| Binary (base 2) | 1011100000001011 |
| Octal (base 8) | 134013 |
| Hexadecimal (base 16) | B80B |
| Base 3 | 2101122000 |
| As time | 47115 seconds = 13 h 5 min 15 s |
Is 47115 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 | Yes (47115 ÷ 3 = 15705) | 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 | Yes (47115 ÷ 5 = 9423) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47115 ÷ 9 = 5235) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47115 a prime number?
No. 47115 = × 5 × 349, so it is divisible by 3.
What are the factors of 47115?
1, 3, 5, 9, 15, 27, 45, 135, 349, 1047, 1745, 3141, 5235, 9423, 15705, 47115.
What is 47115 in binary?
1011100000001011 (hexadecimal B80B, octal 134013).
What is the square root of 47115?
About 217.0599, exactly 3√5235.
Is 47115 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47115?
It is a composite number with 16 divisors.