The number 22041
22041 is a composite number with 12 divisors. Its prime factorisation is × 31 × 79. Divisors (12): 1, 3, 9, 31, 79, 93, 237, 279, 711, 2449, 7347, 22041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22041: a Harshad number: divisible by its digit sum 9.
- 2
22041 is composite. Its prime factorisation is
- 3
The divisors add up to 33280; without 22041 itself that is 11239, so 22041 is deficient (11239 is less than 22041). Euler's totient φ(22041) = 14040 numbers up to 22041 share no factor with it.
- 4
The digits of 22041 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22041 = 3^{2} \times 31 \times 79 \]22041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33280 |
| Euler totient φ(n) | 14040 |
| Square | 485805681 |
| Cube | 10707643014921 |
| Square root | 148.462116 (= 3√2449) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.2041 × |
22041 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and forty-one |
| Binary (base 2) | 101011000011001 |
| Octal (base 8) | 53031 |
| Hexadecimal (base 16) | 5619 |
| Base 3 | 1010020100 |
| As time | 22041 seconds = 6 h 7 min 21 s |
Is 22041 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 (22041 ÷ 3 = 7347) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (22041 ÷ 9 = 2449) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22041 a prime number?
No. 22041 = × 31 × 79, so it is divisible by 3.
What are the factors of 22041?
1, 3, 9, 31, 79, 93, 237, 279, 711, 2449, 7347, 22041.
What is 22041 in binary?
101011000011001 (hexadecimal 5619, octal 53031).
What is the square root of 22041?
About 148.4621, exactly 3√2449.
Is 22041 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22041?
22041 is a Harshad number: divisible by its digit sum 9.