The number 59221
59221 is a twin prime (59219 and 59221 are both prime) and the 5989th prime number. Its only divisors are 1 and 59221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59221: a twin prime (59219 and 59221 are both prime); the 5989th prime number.
- 2
59221 is prime, so its only factors are 1 and 59221. It is the 5989th prime; the next prime is 59233 and the one before is 59219.
- 3
The divisors add up to 59222; without 59221 itself that is 1, so 59221 is deficient (1 is less than 59221). Euler's totient φ(59221) = 59220 numbers up to 59221 share no factor with it.
- 4
The digits of 59221 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 135 steps to reach 1.
59221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59222 |
| Euler totient φ(n) | 59220 |
| Square | 3507126841 |
| Cube | 207695558650861 |
| Square root | 243.353652 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9221 × |
59221 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and twenty-one |
| Binary (base 2) | 1110011101010101 |
| Octal (base 8) | 163525 |
| Hexadecimal (base 16) | E755 |
| Base 3 | 10000020101 |
| As time | 59221 seconds = 16 h 27 min 1 s |
Is 59221 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 1) | 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 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 8) | 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 59221 a prime number?
Yes. 59221 is divisible only by 1 and itself.
What are the factors of 59221?
1, 59221.
What is 59221 in binary?
1110011101010101 (hexadecimal E755, octal 163525).
What is the square root of 59221?
About 243.3537.
Is 59221 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 59221?
59221 is a twin prime (59219 and 59221 are both prime); the 5989th prime number.