The number 22013
22013 is the 2466th prime number. Its only divisors are 1 and 22013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22013: the 2466th prime number.
- 2
22013 is prime, so its only factors are 1 and 22013. It is the 2466th prime; the next prime is 22027 and the one before is 22003.
- 3
The divisors add up to 22014; without 22013 itself that is 1, so 22013 is deficient (1 is less than 22013). Euler's totient φ(22013) = 22012 numbers up to 22013 share no factor with it.
- 4
The digits of 22013 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
22013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 22014 |
| Euler totient φ(n) | 22012 |
| Square | 484572169 |
| Cube | 10666887156197 |
| Square root | 148.367786 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.2013 × |
22013 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and thirteen |
| Binary (base 2) | 101010111111101 |
| Octal (base 8) | 52775 |
| Hexadecimal (base 16) | 55FD |
| Base 3 | 1010012022 |
| As time | 22013 seconds = 6 h 6 min 53 s |
Is 22013 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 3) | 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 5) | 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 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22013 a prime number?
Yes. 22013 is divisible only by 1 and itself.
What are the factors of 22013?
1, 22013.
What is 22013 in binary?
101010111111101 (hexadecimal 55FD, octal 52775).
What is the square root of 22013?
About 148.3678.
Is 22013 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 22013?
22013 is the 2466th prime number.