The number 22073
22073 is the 2474th prime number. Its only divisors are 1 and 22073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22073: the 2474th prime number.
- 2
22073 is prime, so its only factors are 1 and 22073. It is the 2474th prime; the next prime is 22079 and the one before is 22067.
- 3
The divisors add up to 22074; without 22073 itself that is 1, so 22073 is deficient (1 is less than 22073). Euler's totient φ(22073) = 22072 numbers up to 22073 share no factor with it.
- 4
The digits of 22073 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 118 steps to reach 1.
22073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 22074 |
| Euler totient φ(n) | 22072 |
| Square | 487217329 |
| Cube | 10754348103017 |
| Square root | 148.569849 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.2073 × |
22073 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and seventy-three |
| Binary (base 2) | 101011000111001 |
| Octal (base 8) | 53071 |
| Hexadecimal (base 16) | 5639 |
| Base 3 | 1010021112 |
| As time | 22073 seconds = 6 h 7 min 53 s |
Is 22073 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 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 1) | 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 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22073 a prime number?
Yes. 22073 is divisible only by 1 and itself.
What are the factors of 22073?
1, 22073.
What is 22073 in binary?
101011000111001 (hexadecimal 5639, octal 53071).
What is the square root of 22073?
About 148.5698.
Is 22073 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 22073?
22073 is the 2474th prime number.