The number 22243
22243 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 59. Divisors (8): 1, 13, 29, 59, 377, 767, 1711, 22243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22243: a Harshad number: divisible by its digit sum 13.
- 2
22243 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 22243 itself that is 2957, so 22243 is deficient (2957 is less than 22243). Euler's totient φ(22243) = 19488 numbers up to 22243 share no factor with it.
- 4
The digits of 22243 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22243 = 13 \times 29 \times 59 \]
22243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 19488 |
| Square | 494751049 |
| Cube | 11004747582907 |
| Square root | 149.140873 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2243 × |
22243 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and forty-three |
| Binary (base 2) | 101011011100011 |
| Octal (base 8) | 53343 |
| Hexadecimal (base 16) | 56E3 |
| Base 3 | 1010111211 |
| As time | 22243 seconds = 6 h 10 min 43 s |
Is 22243 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22243 a prime number?
No. 22243 = 13 × 29 × 59, so it is divisible by 13.
What are the factors of 22243?
1, 13, 29, 59, 377, 767, 1711, 22243.
What is 22243 in binary?
101011011100011 (hexadecimal 56E3, octal 53343).
What is the square root of 22243?
About 149.1409.
Is 22243 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 22243?
22243 is a Harshad number: divisible by its digit sum 13.