The number 33822
33822 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1879. Divisors (12): 1, 2, 3, 6, 9, 18, 1879, 3758, 5637, 11274, 16911, 33822.
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How to work it out
- 1
What is special about 33822: a Harshad number: divisible by its digit sum 18.
- 2
33822 is composite. Its prime factorisation is
- 3
The divisors add up to 73320; without 33822 itself that is 39498, so 33822 is abundant (39498 is more than 33822). Euler's totient φ(33822) = 11268 numbers up to 33822 share no factor with it.
- 4
The digits of 33822 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 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33822 = 2 \times 3^{2} \times 1879 \]33822 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73320 |
| Euler totient φ(n) | 11268 |
| Square | 1143927684 |
| Cube | 38689922128248 |
| Square root | 183.907585 (= 3√3758) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.3822 × |
33822 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and twenty-two |
| Binary (base 2) | 1000010000011110 |
| Octal (base 8) | 102036 |
| Hexadecimal (base 16) | 841E |
| Base 3 | 1201101200 |
| As time | 33822 seconds = 9 h 23 min 42 s |
Is 33822 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33822 ÷ 2 = 16911) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33822 ÷ 3 = 11274) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (33822 ÷ 6 = 5637) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33822 ÷ 9 = 3758) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33822 a prime number?
No. 33822 = 2 × × 1879, so it is divisible by 2.
What are the factors of 33822?
1, 2, 3, 6, 9, 18, 1879, 3758, 5637, 11274, 16911, 33822.
What is 33822 in binary?
1000010000011110 (hexadecimal 841E, octal 102036).
What is the square root of 33822?
About 183.9076, exactly 3√3758.
Is 33822 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33822?
33822 is a Harshad number: divisible by its digit sum 18.