The number 3336
3336 is a composite number with 16 divisors. Its prime factorisation is × 3 × 139. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3336 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3336 is composite. Its prime factorisation is
- 3
The divisors add up to 8400; without 3336 itself that is 5064, so 3336 is abundant (5064 is more than 3336). Euler's totient φ(3336) = 1104 numbers up to 3336 share no factor with it.
- 4
The digits of 3336 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3336 = 2^{3} \times 3 \times 139 \]3336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8400 |
| Euler totient φ(n) | 1104 |
| Square | 11128896 |
| Cube | 37125997056 |
| Square root | 57.758116 (= 2√834) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.336 × |
3336 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirty-six |
| Roman numerals | MMMCCCXXXVI |
| Binary (base 2) | 110100001000 |
| Octal (base 8) | 6410 |
| Hexadecimal (base 16) | D08 |
| Base 3 | 11120120 |
| As time | 3336 seconds = 55 min 36 s |
Is 3336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3336 ÷ 2 = 1668) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3336 ÷ 3 = 1112) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3336 ÷ 4 = 834) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3336 ÷ 6 = 556) | 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 | Yes (3336 ÷ 8 = 417) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3336 ÷ 12 = 278) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3336 a prime number?
No. 3336 = × 3 × 139, so it is divisible by 2.
What are the factors of 3336?
1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336.
What is 3336 in binary?
110100001000 (hexadecimal D08, octal 6410).
What is the square root of 3336?
About 57.7581, exactly 2√834.
What is 3336 in Roman numerals?
MMMCCCXXXVI.
Is 3336 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3336?
It is a composite number with 16 divisors.