The number 22024
22024 is a composite number with 8 divisors. Its prime factorisation is × 2753. Divisors (8): 1, 2, 4, 8, 2753, 5506, 11012, 22024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22024: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22024 is composite. Its prime factorisation is
- 3
The divisors add up to 41310; without 22024 itself that is 19286, so 22024 is deficient (19286 is less than 22024). Euler's totient φ(22024) = 11008 numbers up to 22024 share no factor with it.
- 4
The digits of 22024 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22024 = 2^{3} \times 2753 \]22024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41310 |
| Euler totient φ(n) | 11008 |
| Square | 485056576 |
| Cube | 10682886029824 |
| Square root | 148.404852 (= 2√5506) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2024 × |
22024 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and twenty-four |
| Binary (base 2) | 101011000001000 |
| Octal (base 8) | 53010 |
| Hexadecimal (base 16) | 5608 |
| Base 3 | 1010012201 |
| As time | 22024 seconds = 6 h 7 min 4 s |
Is 22024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22024 ÷ 2 = 11012) | 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 | Yes (22024 ÷ 4 = 5506) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (22024 ÷ 8 = 2753) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22024 a prime number?
No. 22024 = × 2753, so it is divisible by 2.
What are the factors of 22024?
1, 2, 4, 8, 2753, 5506, 11012, 22024.
What is 22024 in binary?
101011000001000 (hexadecimal 5608, octal 53010).
What is the square root of 22024?
About 148.4049, exactly 2√5506.
Is 22024 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22024?
22024 is a happy number: repeatedly adding the squares of its digits reaches 1.