The number 13833
13833 is a composite number with 12 divisors. Its prime factorisation is × 29 × 53. Divisors (12): 1, 3, 9, 29, 53, 87, 159, 261, 477, 1537, 4611, 13833.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13833 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13833 is composite. Its prime factorisation is
- 3
The divisors add up to 21060; without 13833 itself that is 7227, so 13833 is deficient (7227 is less than 13833). Euler's totient φ(13833) = 8736 numbers up to 13833 share no factor with it.
- 4
The digits of 13833 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13833 = 3^{2} \times 29 \times 53 \]13833 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21060 |
| Euler totient φ(n) | 8736 |
| Square | 191351889 |
| Cube | 2646970680537 |
| Square root | 117.613775 (= 3√1537) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3833 × |
13833 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and thirty-three |
| Binary (base 2) | 11011000001001 |
| Octal (base 8) | 33011 |
| Hexadecimal (base 16) | 3609 |
| Base 3 | 200222100 |
| As time | 13833 seconds = 3 h 50 min 33 s |
Is 13833 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 (13833 ÷ 3 = 4611) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13833 ÷ 9 = 1537) | 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 6) | 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 13833 a prime number?
No. 13833 = × 29 × 53, so it is divisible by 3.
What are the factors of 13833?
1, 3, 9, 29, 53, 87, 159, 261, 477, 1537, 4611, 13833.
What is 13833 in binary?
11011000001001 (hexadecimal 3609, octal 33011).
What is the square root of 13833?
About 117.6138, exactly 3√1537.
Is 13833 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13833?
It is a composite number with 12 divisors.