The number 3393
3393 is a composite number with 12 divisors. Its prime factorisation is × 13 × 29. Divisors (12): 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3393 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3393 is composite. Its prime factorisation is
- 3
The divisors add up to 5460; without 3393 itself that is 2067, so 3393 is deficient (2067 is less than 3393). Euler's totient φ(3393) = 2016 numbers up to 3393 share no factor with it.
- 4
The digits of 3393 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3393 = 3^{2} \times 13 \times 29 \]3393 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5460 |
| Euler totient φ(n) | 2016 |
| Square | 11512449 |
| Cube | 39061739457 |
| Square root | 58.249464 (= 3√377) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.393 × |
3393 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and ninety-three |
| Roman numerals | MMMCCCXCIII |
| Binary (base 2) | 110101000001 |
| Octal (base 8) | 6501 |
| Hexadecimal (base 16) | D41 |
| Base 3 | 11122200 |
| As time | 3393 seconds = 56 min 33 s |
Is 3393 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3393 ÷ 3 = 1131) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3393 ÷ 9 = 377) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3393 a prime number?
No. 3393 = × 13 × 29, so it is divisible by 3.
What are the factors of 3393?
1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393.
What is 3393 in binary?
110101000001 (hexadecimal D41, octal 6501).
What is the square root of 3393?
About 58.2495, exactly 3√377.
What is 3393 in Roman numerals?
MMMCCCXCIII.
Is 3393 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3393?
It is a composite number with 12 divisors.