The number 3322
3322 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 151. Divisors (8): 1, 2, 11, 22, 151, 302, 1661, 3322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3322 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3322 is composite. Its prime factorisation is
- 3
The divisors add up to 5472; without 3322 itself that is 2150, so 3322 is deficient (2150 is less than 3322). Euler's totient φ(3322) = 1500 numbers up to 3322 share no factor with it.
- 4
The digits of 3322 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3322 = 2 \times 11 \times 151 \]
3322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 1500 |
| Square | 11035684 |
| Cube | 36660542248 |
| Square root | 57.636794 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.322 × |
3322 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and twenty-two |
| Roman numerals | MMMCCCXXII |
| Binary (base 2) | 110011111010 |
| Octal (base 8) | 6372 |
| Hexadecimal (base 16) | CFA |
| Base 3 | 11120001 |
| As time | 3322 seconds = 55 min 22 s |
Is 3322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3322 ÷ 2 = 1661) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (3322 ÷ 11 = 302) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3322 a prime number?
No. 3322 = 2 × 11 × 151, so it is divisible by 2.
What are the factors of 3322?
1, 2, 11, 22, 151, 302, 1661, 3322.
What is 3322 in binary?
110011111010 (hexadecimal CFA, octal 6372).
What is the square root of 3322?
About 57.6368.
What is 3322 in Roman numerals?
MMMCCCXXII.
Is 3322 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3322?
It is a composite number with 8 divisors.