The number 47135
47135 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 857. Divisors (8): 1, 5, 11, 55, 857, 4285, 9427, 47135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47135: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47135 is composite. Its prime factorisation is
- 3
The divisors add up to 61776; without 47135 itself that is 14641, so 47135 is deficient (14641 is less than 47135). Euler's totient φ(47135) = 34240 numbers up to 47135 share no factor with it.
- 4
The digits of 47135 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47135 = 5 \times 11 \times 857 \]
47135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61776 |
| Euler totient φ(n) | 34240 |
| Square | 2221708225 |
| Cube | 104720217185375 |
| Square root | 217.105965 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.7135 × |
47135 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and thirty-five |
| Binary (base 2) | 1011100000011111 |
| Octal (base 8) | 134037 |
| Hexadecimal (base 16) | B81F |
| Base 3 | 2101122202 |
| As time | 47135 seconds = 13 h 5 min 35 s |
Is 47135 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 2) | 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 (47135 ÷ 5 = 9427) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (47135 ÷ 11 = 4285) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47135 a prime number?
No. 47135 = 5 × 11 × 857, so it is divisible by 5.
What are the factors of 47135?
1, 5, 11, 55, 857, 4285, 9427, 47135.
What is 47135 in binary?
1011100000011111 (hexadecimal B81F, octal 134037).
What is the square root of 47135?
About 217.1060.
Is 47135 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47135?
47135 is a happy number: repeatedly adding the squares of its digits reaches 1.