The number 3222
3222 is a composite number with 12 divisors. Its prime factorisation is 2 × × 179. Divisors (12): 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3222: a Harshad number: divisible by its digit sum 9.
- 2
3222 is composite. Its prime factorisation is
- 3
The divisors add up to 7020; without 3222 itself that is 3798, so 3222 is abundant (3798 is more than 3222). Euler's totient φ(3222) = 1068 numbers up to 3222 share no factor with it.
- 4
The digits of 3222 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 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3222 = 2 \times 3^{2} \times 179 \]3222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7020 |
| Euler totient φ(n) | 1068 |
| Square | 10381284 |
| Cube | 33448497048 |
| Square root | 56.762664 (= 3√358) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.222 × |
3222 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and twenty-two |
| Roman numerals | MMMCCXXII |
| Binary (base 2) | 110010010110 |
| Octal (base 8) | 6226 |
| Hexadecimal (base 16) | C96 |
| Base 3 | 11102100 |
| As time | 3222 seconds = 53 min 42 s |
Is 3222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3222 ÷ 2 = 1611) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3222 ÷ 3 = 1074) | 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 (3222 ÷ 6 = 537) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (3222 ÷ 9 = 358) | 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 10) | 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 3222 a prime number?
No. 3222 = 2 × × 179, so it is divisible by 2.
What are the factors of 3222?
1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222.
What is 3222 in binary?
110010010110 (hexadecimal C96, octal 6226).
What is the square root of 3222?
About 56.7627, exactly 3√358.
What is 3222 in Roman numerals?
MMMCCXXII.
Is 3222 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3222?
3222 is a Harshad number: divisible by its digit sum 9.