The number 47189
47189 is the 4868th prime number. Its only divisors are 1 and 47189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47189: the 4868th prime number.
- 2
47189 is prime, so its only factors are 1 and 47189. It is the 4868th prime; the next prime is 47207 and the one before is 47161.
- 3
The divisors add up to 47190; without 47189 itself that is 1, so 47189 is deficient (1 is less than 47189). Euler's totient φ(47189) = 47188 numbers up to 47189 share no factor with it.
- 4
The digits of 47189 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
47189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47190 |
| Euler totient φ(n) | 47188 |
| Square | 2226801721 |
| Cube | 105080546412269 |
| Square root | 217.230293 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7189 × |
47189 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and eighty-nine |
| Binary (base 2) | 1011100001010101 |
| Octal (base 8) | 134125 |
| Hexadecimal (base 16) | B855 |
| Base 3 | 2101201202 |
| As time | 47189 seconds = 13 h 6 min 29 s |
Is 47189 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47189 a prime number?
Yes. 47189 is divisible only by 1 and itself.
What are the factors of 47189?
1, 47189.
What is 47189 in binary?
1011100001010101 (hexadecimal B855, octal 134125).
What is the square root of 47189?
About 217.2303.
Is 47189 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47189?
47189 is the 4868th prime number.