The number 22221
22221 is a composite number with 8 divisors. Its prime factorisation is × 823. Divisors (8): 1, 3, 9, 27, 823, 2469, 7407, 22221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22221: a Harshad number: divisible by its digit sum 9.
- 2
22221 is composite. Its prime factorisation is
- 3
The divisors add up to 32960; without 22221 itself that is 10739, so 22221 is deficient (10739 is less than 22221). Euler's totient φ(22221) = 14796 numbers up to 22221 share no factor with it.
- 4
The digits of 22221 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22221 = 3^{3} \times 823 \]22221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32960 |
| Euler totient φ(n) | 14796 |
| Square | 493772841 |
| Cube | 10972126299861 |
| Square root | 149.067099 (= 3√2469) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2221 × |
22221 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and twenty-one |
| Binary (base 2) | 101011011001101 |
| Octal (base 8) | 53315 |
| Hexadecimal (base 16) | 56CD |
| Base 3 | 1010111000 |
| As time | 22221 seconds = 6 h 10 min 21 s |
Is 22221 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 (22221 ÷ 3 = 7407) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22221 ÷ 9 = 2469) | 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 1) | 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 22221 a prime number?
No. 22221 = × 823, so it is divisible by 3.
What are the factors of 22221?
1, 3, 9, 27, 823, 2469, 7407, 22221.
What is 22221 in binary?
101011011001101 (hexadecimal 56CD, octal 53315).
What is the square root of 22221?
About 149.0671, exactly 3√2469.
Is 22221 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22221?
22221 is a Harshad number: divisible by its digit sum 9.