The number 59021
59021 is a twin prime (59021 and 59023 are both prime) and the 5966th prime number. Its only divisors are 1 and 59021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59021: a twin prime (59021 and 59023 are both prime); the 5966th prime number.
- 2
59021 is prime, so its only factors are 1 and 59021. It is the 5966th prime; the next prime is 59023 and the one before is 59011.
- 3
The divisors add up to 59022; without 59021 itself that is 1, so 59021 is deficient (1 is less than 59021). Euler's totient φ(59021) = 59020 numbers up to 59021 share no factor with it.
- 4
The digits of 59021 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
59021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59022 |
| Euler totient φ(n) | 59020 |
| Square | 3483478441 |
| Cube | 205598381066261 |
| Square root | 242.942380 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.9021 × |
59021 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and twenty-one |
| Binary (base 2) | 1110011010001101 |
| Octal (base 8) | 163215 |
| Hexadecimal (base 16) | E68D |
| Base 3 | 2222221222 |
| As time | 59021 seconds = 16 h 23 min 41 s |
Is 59021 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 59021 a prime number?
Yes. 59021 is divisible only by 1 and itself.
What are the factors of 59021?
1, 59021.
What is 59021 in binary?
1110011010001101 (hexadecimal E68D, octal 163215).
What is the square root of 59021?
About 242.9424.
Is 59021 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 59021?
59021 is a twin prime (59021 and 59023 are both prime); the 5966th prime number.