The number 22241
22241 is a composite number with 4 divisors. Its prime factorisation is 23 × 967. Divisors (4): 1, 23, 967, 22241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22241: a semiprime: 23 × 967, the product of two primes.
- 2
22241 is composite. Its prime factorisation is
- 3
The divisors add up to 23232; without 22241 itself that is 991, so 22241 is deficient (991 is less than 22241). Euler's totient φ(22241) = 21252 numbers up to 22241 share no factor with it.
- 4
The digits of 22241 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22241 = 23 \times 967 \]
22241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 23232 |
| Euler totient φ(n) | 21252 |
| Square | 494662081 |
| Cube | 11001779343521 |
| Square root | 149.134168 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.2241 × |
22241 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and forty-one |
| Binary (base 2) | 101011011100001 |
| Octal (base 8) | 53341 |
| Hexadecimal (base 16) | 56E1 |
| Base 3 | 1010111202 |
| As time | 22241 seconds = 6 h 10 min 41 s |
Is 22241 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 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 22241 a prime number?
No. 22241 = 23 × 967, so it is divisible by 23.
What are the factors of 22241?
1, 23, 967, 22241.
What is 22241 in binary?
101011011100001 (hexadecimal 56E1, octal 53341).
What is the square root of 22241?
About 149.1342.
Is 22241 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 22241?
22241 is a semiprime: 23 × 967, the product of two primes.