The number 22438
22438 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 863. Divisors (8): 1, 2, 13, 26, 863, 1726, 11219, 22438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22438: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22438 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 22438 itself that is 13850, so 22438 is deficient (13850 is less than 22438). Euler's totient φ(22438) = 10344 numbers up to 22438 share no factor with it.
- 4
The digits of 22438 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22438 = 2 \times 13 \times 863 \]
22438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 10344 |
| Square | 503463844 |
| Cube | 11296721731672 |
| Square root | 149.793191 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.2438 × |
22438 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and thirty-eight |
| Binary (base 2) | 101011110100110 |
| Octal (base 8) | 53646 |
| Hexadecimal (base 16) | 57A6 |
| Base 3 | 1010210001 |
| As time | 22438 seconds = 6 h 13 min 58 s |
Is 22438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22438 ÷ 2 = 11219) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 8) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22438 a prime number?
No. 22438 = 2 × 13 × 863, so it is divisible by 2.
What are the factors of 22438?
1, 2, 13, 26, 863, 1726, 11219, 22438.
What is 22438 in binary?
101011110100110 (hexadecimal 57A6, octal 53646).
What is the square root of 22438?
About 149.7932.
Is 22438 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 22438?
22438 is a happy number: repeatedly adding the squares of its digits reaches 1.