The number 22167
22167 is a composite number with 8 divisors. Its prime factorisation is × 821. Divisors (8): 1, 3, 9, 27, 821, 2463, 7389, 22167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22167: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22167 is composite. Its prime factorisation is
- 3
The divisors add up to 32880; without 22167 itself that is 10713, so 22167 is deficient (10713 is less than 22167). Euler's totient φ(22167) = 14760 numbers up to 22167 share no factor with it.
- 4
The digits of 22167 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22167 = 3^{3} \times 821 \]22167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32880 |
| Euler totient φ(n) | 14760 |
| Square | 491375889 |
| Cube | 10892329331463 |
| Square root | 148.885862 (= 3√2463) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2167 × |
22167 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and sixty-seven |
| Binary (base 2) | 101011010010111 |
| Octal (base 8) | 53227 |
| Hexadecimal (base 16) | 5697 |
| Base 3 | 1010102000 |
| As time | 22167 seconds = 6 h 9 min 27 s |
Is 22167 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 (22167 ÷ 3 = 7389) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22167 ÷ 9 = 2463) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22167 a prime number?
No. 22167 = × 821, so it is divisible by 3.
What are the factors of 22167?
1, 3, 9, 27, 821, 2463, 7389, 22167.
What is 22167 in binary?
101011010010111 (hexadecimal 5697, octal 53227).
What is the square root of 22167?
About 148.8859, exactly 3√2463.
Is 22167 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 22167?
22167 is a happy number: repeatedly adding the squares of its digits reaches 1.