The number 20071
20071 is the 2270th prime number. Its only divisors are 1 and 20071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20071: the 2270th prime number.
- 2
20071 is prime, so its only factors are 1 and 20071. It is the 2270th prime; the next prime is 20089 and the one before is 20063.
- 3
The divisors add up to 20072; without 20071 itself that is 1, so 20071 is deficient (1 is less than 20071). Euler's totient φ(20071) = 20070 numbers up to 20071 share no factor with it.
- 4
The digits of 20071 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
20071 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 20072 |
| Euler totient φ(n) | 20070 |
| Square | 402845041 |
| Cube | 8085502817911 |
| Square root | 141.672157 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.0071 × |
20071 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and seventy-one |
| Binary (base 2) | 100111001100111 |
| Octal (base 8) | 47147 |
| Hexadecimal (base 16) | 4E67 |
| Base 3 | 1000112101 |
| As time | 20071 seconds = 5 h 34 min 31 s |
Is 20071 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 3) | 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 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20071 a prime number?
Yes. 20071 is divisible only by 1 and itself.
What are the factors of 20071?
1, 20071.
What is 20071 in binary?
100111001100111 (hexadecimal 4E67, octal 47147).
What is the square root of 20071?
About 141.6722.
Is 20071 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20071?
20071 is the 2270th prime number.