The number 3318
3318 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 79. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3318 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3318 is composite. Its prime factorisation is
- 3
The divisors add up to 7680; without 3318 itself that is 4362, so 3318 is abundant (4362 is more than 3318). Euler's totient φ(3318) = 936 numbers up to 3318 share no factor with it.
- 4
The digits of 3318 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3318 = 2 \times 3 \times 7 \times 79 \]
3318 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7680 |
| Euler totient φ(n) | 936 |
| Square | 11009124 |
| Cube | 36528273432 |
| Square root | 57.602083 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.318 × |
3318 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and eighteen |
| Roman numerals | MMMCCCXVIII |
| Binary (base 2) | 110011110110 |
| Octal (base 8) | 6366 |
| Hexadecimal (base 16) | CF6 |
| Base 3 | 11112220 |
| As time | 3318 seconds = 55 min 18 s |
Is 3318 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3318 ÷ 2 = 1659) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3318 ÷ 3 = 1106) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3318 ÷ 6 = 553) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3318 ÷ 7 = 474) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 3318 a prime number?
No. 3318 = 2 × 3 × 7 × 79, so it is divisible by 2.
What are the factors of 3318?
1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318.
What is 3318 in binary?
110011110110 (hexadecimal CF6, octal 6366).
What is the square root of 3318?
About 57.6021.
What is 3318 in Roman numerals?
MMMCCCXVIII.
Is 3318 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3318?
It is a composite number with 16 divisors.