The number 3822
3822 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 13. Divisors (24): 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147 … 3822.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3822 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3822 is composite. Its prime factorisation is
- 3
The divisors add up to 9576; without 3822 itself that is 5754, so 3822 is abundant (5754 is more than 3822). Euler's totient φ(3822) = 1008 numbers up to 3822 share no factor with it.
- 4
The digits of 3822 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3822 = 2 \times 3 \times 7^{2} \times 13 \]3822 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9576 |
| Euler totient φ(n) | 1008 |
| Square | 14607684 |
| Cube | 55830568248 |
| Square root | 61.822326 (= 7√78) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.822 × |
3822 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and twenty-two |
| Roman numerals | MMMDCCCXXII |
| Binary (base 2) | 111011101110 |
| Octal (base 8) | 7356 |
| Hexadecimal (base 16) | EEE |
| Base 3 | 12020120 |
| As time | 3822 seconds = 1 h 3 min 42 s |
Is 3822 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3822 ÷ 2 = 1911) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3822 ÷ 3 = 1274) | 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 (3822 ÷ 6 = 637) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3822 ÷ 7 = 546) | 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 | No (remainder 6) | 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 5) | 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 3822 a prime number?
No. 3822 = 2 × 3 × × 13, so it is divisible by 2.
What are the factors of 3822?
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822.
What is 3822 in binary?
111011101110 (hexadecimal EEE, octal 7356).
What is the square root of 3822?
About 61.8223, exactly 7√78.
What is 3822 in Roman numerals?
MMMDCCCXXII.
Is 3822 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3822?
It is a composite number with 24 divisors.