The number 20201
20201 is the 2285th prime number. Its only divisors are 1 and 20201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20201: the 2285th prime number.
- 2
20201 is prime, so its only factors are 1 and 20201. It is the 2285th prime; the next prime is 20219 and the one before is 20183.
- 3
The divisors add up to 20202; without 20201 itself that is 1, so 20201 is deficient (1 is less than 20201). Euler's totient φ(20201) = 20200 numbers up to 20201 share no factor with it.
- 4
The digits of 20201 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
20201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 20202 |
| Euler totient φ(n) | 20200 |
| Square | 408080401 |
| Cube | 8243632180601 |
| Square root | 142.130222 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.0201 × |
20201 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand two hundred and one |
| Binary (base 2) | 100111011101001 |
| Octal (base 8) | 47351 |
| Hexadecimal (base 16) | 4EE9 |
| Base 3 | 1000201012 |
| As time | 20201 seconds = 5 h 36 min 41 s |
Is 20201 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | 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 20201 a prime number?
Yes. 20201 is divisible only by 1 and itself.
What are the factors of 20201?
1, 20201.
What is 20201 in binary?
100111011101001 (hexadecimal 4EE9, octal 47351).
What is the square root of 20201?
About 142.1302.
Is 20201 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 20201?
20201 is the 2285th prime number.