The number 22037
22037 is a twin prime (22037 and 22039 are both prime) and the 2469th prime number. Its only divisors are 1 and 22037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22037: a twin prime (22037 and 22039 are both prime); the 2469th prime number.
- 2
22037 is prime, so its only factors are 1 and 22037. It is the 2469th prime; the next prime is 22039 and the one before is 22031.
- 3
The divisors add up to 22038; without 22037 itself that is 1, so 22037 is deficient (1 is less than 22037). Euler's totient φ(22037) = 22036 numbers up to 22037 share no factor with it.
- 4
The digits of 22037 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
22037 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 22038 |
| Euler totient φ(n) | 22036 |
| Square | 485629369 |
| Cube | 10701814404653 |
| Square root | 148.448644 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2037 × |
22037 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and thirty-seven |
| Binary (base 2) | 101011000010101 |
| Octal (base 8) | 53025 |
| Hexadecimal (base 16) | 5615 |
| Base 3 | 1010020012 |
| As time | 22037 seconds = 6 h 7 min 17 s |
Is 22037 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 2) | 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 1) | 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 5) | 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 4) | 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 22037 a prime number?
Yes. 22037 is divisible only by 1 and itself.
What are the factors of 22037?
1, 22037.
What is 22037 in binary?
101011000010101 (hexadecimal 5615, octal 53025).
What is the square root of 22037?
About 148.4486.
Is 22037 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 22037?
22037 is a twin prime (22037 and 22039 are both prime); the 2469th prime number.