The number 21067
21067 is the 2370th prime number. Its only divisors are 1 and 21067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21067: the 2370th prime number.
- 2
21067 is prime, so its only factors are 1 and 21067. It is the 2370th prime; the next prime is 21089 and the one before is 21061.
- 3
The divisors add up to 21068; without 21067 itself that is 1, so 21067 is deficient (1 is less than 21067). Euler's totient φ(21067) = 21066 numbers up to 21067 share no factor with it.
- 4
The digits of 21067 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 43 steps to reach 1.
21067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 21068 |
| Euler totient φ(n) | 21066 |
| Square | 443818489 |
| Cube | 9349924107763 |
| Square root | 145.144755 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.1067 × |
21067 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand and sixty-seven |
| Binary (base 2) | 101001001001011 |
| Octal (base 8) | 51113 |
| Hexadecimal (base 16) | 524B |
| Base 3 | 1001220021 |
| As time | 21067 seconds = 5 h 51 min 7 s |
Is 21067 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 2) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 21067 a prime number?
Yes. 21067 is divisible only by 1 and itself.
What are the factors of 21067?
1, 21067.
What is 21067 in binary?
101001001001011 (hexadecimal 524B, octal 51113).
What is the square root of 21067?
About 145.1448.
Is 21067 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 21067?
21067 is the 2370th prime number.