The number 13383
13383 is a composite number with 6 divisors. Its prime factorisation is × 1487. Divisors (6): 1, 3, 9, 1487, 4461, 13383.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13383 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13383 is composite. Its prime factorisation is
- 3
The divisors add up to 19344; without 13383 itself that is 5961, so 13383 is deficient (5961 is less than 13383). Euler's totient φ(13383) = 8916 numbers up to 13383 share no factor with it.
- 4
The digits of 13383 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13383 = 3^{2} \times 1487 \]13383 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 19344 |
| Euler totient φ(n) | 8916 |
| Square | 179104689 |
| Cube | 2396958052887 |
| Square root | 115.684917 (= 3√1487) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3383 × |
13383 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eighty-three |
| Binary (base 2) | 11010001000111 |
| Octal (base 8) | 32107 |
| Hexadecimal (base 16) | 3447 |
| Base 3 | 200100200 |
| As time | 13383 seconds = 3 h 43 min 3 s |
Is 13383 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 (13383 ÷ 3 = 4461) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13383 ÷ 9 = 1487) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13383 a prime number?
No. 13383 = × 1487, so it is divisible by 3.
What are the factors of 13383?
1, 3, 9, 1487, 4461, 13383.
What is 13383 in binary?
11010001000111 (hexadecimal 3447, octal 32107).
What is the square root of 13383?
About 115.6849, exactly 3√1487.
Is 13383 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13383?
It is a composite number with 6 divisors.