The number 22023
22023 is a composite number with 6 divisors. Its prime factorisation is × 2447. Divisors (6): 1, 3, 9, 2447, 7341, 22023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22023: a Harshad number: divisible by its digit sum 9.
- 2
22023 is composite. Its prime factorisation is
- 3
The divisors add up to 31824; without 22023 itself that is 9801, so 22023 is deficient (9801 is less than 22023). Euler's totient φ(22023) = 14676 numbers up to 22023 share no factor with it.
- 4
The digits of 22023 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22023 = 3^{2} \times 2447 \]22023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 31824 |
| Euler totient φ(n) | 14676 |
| Square | 485012529 |
| Cube | 10681430926167 |
| Square root | 148.401482 (= 3√2447) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.2023 × |
22023 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and twenty-three |
| Binary (base 2) | 101011000000111 |
| Octal (base 8) | 53007 |
| Hexadecimal (base 16) | 5607 |
| Base 3 | 1010012200 |
| As time | 22023 seconds = 6 h 7 min 3 s |
Is 22023 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 | Yes (22023 ÷ 3 = 7341) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22023 ÷ 9 = 2447) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22023 a prime number?
No. 22023 = × 2447, so it is divisible by 3.
What are the factors of 22023?
1, 3, 9, 2447, 7341, 22023.
What is 22023 in binary?
101011000000111 (hexadecimal 5607, octal 53007).
What is the square root of 22023?
About 148.4015, exactly 3√2447.
Is 22023 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22023?
22023 is a Harshad number: divisible by its digit sum 9.