The number 3396
3396 is a composite number with 12 divisors. Its prime factorisation is × 3 × 283. Divisors (12): 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3396 is composite. Its prime factorisation is
- 3
The divisors add up to 7952; without 3396 itself that is 4556, so 3396 is abundant (4556 is more than 3396). Euler's totient φ(3396) = 1128 numbers up to 3396 share no factor with it.
- 4
The digits of 3396 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3396 = 2^{2} \times 3 \times 283 \]3396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7952 |
| Euler totient φ(n) | 1128 |
| Square | 11532816 |
| Cube | 39165443136 |
| Square root | 58.275209 (= 2√849) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.396 × |
3396 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and ninety-six |
| Roman numerals | MMMCCCXCVI |
| Binary (base 2) | 110101000100 |
| Octal (base 8) | 6504 |
| Hexadecimal (base 16) | D44 |
| Base 3 | 11122210 |
| As time | 3396 seconds = 56 min 36 s |
Is 3396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3396 ÷ 2 = 1698) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3396 ÷ 3 = 1132) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3396 ÷ 4 = 849) | 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 (3396 ÷ 6 = 566) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3396 ÷ 12 = 283) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3396 a prime number?
No. 3396 = × 3 × 283, so it is divisible by 2.
What are the factors of 3396?
1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396.
What is 3396 in binary?
110101000100 (hexadecimal D44, octal 6504).
What is the square root of 3396?
About 58.2752, exactly 2√849.
What is 3396 in Roman numerals?
MMMCCCXCVI.
Is 3396 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3396?
It is a composite number with 12 divisors.