The number 22273
22273 is a twin prime (22271 and 22273 are both prime) and the 2494th prime number. Its only divisors are 1 and 22273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22273: a twin prime (22271 and 22273 are both prime); the 2494th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22273 is prime, so its only factors are 1 and 22273. It is the 2494th prime; the next prime is 22277 and the one before is 22271.
- 3
The divisors add up to 22274; without 22273 itself that is 1, so 22273 is deficient (1 is less than 22273). Euler's totient φ(22273) = 22272 numbers up to 22273 share no factor with it.
- 4
The digits of 22273 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 131 steps to reach 1.
22273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 22274 |
| Euler totient φ(n) | 22272 |
| Square | 496086529 |
| Cube | 11049335260417 |
| Square root | 149.241415 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2273 × |
22273 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and seventy-three |
| Binary (base 2) | 101011100000001 |
| Octal (base 8) | 53401 |
| Hexadecimal (base 16) | 5701 |
| Base 3 | 1010112221 |
| As time | 22273 seconds = 6 h 11 min 13 s |
Is 22273 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 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 1) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22273 a prime number?
Yes. 22273 is divisible only by 1 and itself.
What are the factors of 22273?
1, 22273.
What is 22273 in binary?
101011100000001 (hexadecimal 5701, octal 53401).
What is the square root of 22273?
About 149.2414.
Is 22273 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 22273?
22273 is a twin prime (22271 and 22273 are both prime); the 2494th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.