The number 22104
22104 is a composite number with 24 divisors. Its prime factorisation is × × 307. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 307, 614, 921, 1228 … 22104.
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How to work it out
- 1
What is special about 22104: a Harshad number: divisible by its digit sum 9.
- 2
22104 is composite. Its prime factorisation is
- 3
The divisors add up to 60060; without 22104 itself that is 37956, so 22104 is abundant (37956 is more than 22104). Euler's totient φ(22104) = 7344 numbers up to 22104 share no factor with it.
- 4
The digits of 22104 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22104 = 2^{3} \times 3^{2} \times 307 \]22104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 60060 |
| Euler totient φ(n) | 7344 |
| Square | 488586816 |
| Cube | 10799722980864 |
| Square root | 148.674140 (= 6√614) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.2104 × |
22104 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and four |
| Binary (base 2) | 101011001011000 |
| Octal (base 8) | 53130 |
| Hexadecimal (base 16) | 5658 |
| Base 3 | 1010022200 |
| As time | 22104 seconds = 6 h 8 min 24 s |
Is 22104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22104 ÷ 2 = 11052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22104 ÷ 3 = 7368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22104 ÷ 4 = 5526) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (22104 ÷ 6 = 3684) | 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 | Yes (22104 ÷ 8 = 2763) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22104 ÷ 9 = 2456) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (22104 ÷ 12 = 1842) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22104 a prime number?
No. 22104 = × × 307, so it is divisible by 2.
What are the factors of 22104?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 307, 614, 921, 1228, 1842, 2456, 2763, 3684, 5526, 7368, 11052, 22104.
What is 22104 in binary?
101011001011000 (hexadecimal 5658, octal 53130).
What is the square root of 22104?
About 148.6741, exactly 6√614.
Is 22104 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22104?
22104 is a Harshad number: divisible by its digit sum 9.