The number 47221
47221 is the 4870th prime number. Its only divisors are 1 and 47221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47221: the 4870th prime number.
- 2
47221 is prime, so its only factors are 1 and 47221. It is the 4870th prime; the next prime is 47237 and the one before is 47207.
- 3
The divisors add up to 47222; without 47221 itself that is 1, so 47221 is deficient (1 is less than 47221). Euler's totient φ(47221) = 47220 numbers up to 47221 share no factor with it.
- 4
The digits of 47221 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 101 steps to reach 1.
47221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47222 |
| Euler totient φ(n) | 47220 |
| Square | 2229822841 |
| Cube | 105294464374861 |
| Square root | 217.303935 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7221 × |
47221 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and twenty-one |
| Binary (base 2) | 1011100001110101 |
| Octal (base 8) | 134165 |
| Hexadecimal (base 16) | B875 |
| Base 3 | 2101202221 |
| As time | 47221 seconds = 13 h 7 min 1 s |
Is 47221 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 6) | 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 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 | No (remainder 9) | 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 47221 a prime number?
Yes. 47221 is divisible only by 1 and itself.
What are the factors of 47221?
1, 47221.
What is 47221 in binary?
1011100001110101 (hexadecimal B875, octal 134165).
What is the square root of 47221?
About 217.3039.
Is 47221 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47221?
47221 is the 4870th prime number.