The number 47161
47161 is the 4867th prime number. Its only divisors are 1 and 47161.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47161: the 4867th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47161 is prime, so its only factors are 1 and 47161. It is the 4867th prime; the next prime is 47189 and the one before is 47149.
- 3
The divisors add up to 47162; without 47161 itself that is 1, so 47161 is deficient (1 is less than 47161). Euler's totient φ(47161) = 47160 numbers up to 47161 share no factor with it.
- 4
The digits of 47161 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47161 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47162 |
| Euler totient φ(n) | 47160 |
| Square | 2224159921 |
| Cube | 104893606034281 |
| Square root | 217.165835 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7161 × |
47161 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and sixty-one |
| Binary (base 2) | 1011100000111001 |
| Octal (base 8) | 134071 |
| Hexadecimal (base 16) | B839 |
| Base 3 | 2101200201 |
| As time | 47161 seconds = 13 h 6 min 1 s |
Is 47161 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 1) | 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 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47161 a prime number?
Yes. 47161 is divisible only by 1 and itself.
What are the factors of 47161?
1, 47161.
What is 47161 in binary?
1011100000111001 (hexadecimal B839, octal 134071).
What is the square root of 47161?
About 217.1658.
Is 47161 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47161?
47161 is the 4867th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.