The number 13311
13311 is a composite number with 16 divisors. Its prime factorisation is × 17 × 29. Divisors (16): 1, 3, 9, 17, 27, 29, 51, 87, 153, 261, 459, 493, 783, 1479, 4437, 13311.
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How to work it out
- 1
What is special about 13311: a Harshad number: divisible by its digit sum 9.
- 2
13311 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 13311 itself that is 8289, so 13311 is deficient (8289 is less than 13311). Euler's totient φ(13311) = 8064 numbers up to 13311 share no factor with it.
- 4
The digits of 13311 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13311 = 3^{3} \times 17 \times 29 \]13311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 8064 |
| Square | 177182721 |
| Cube | 2358479199231 |
| Square root | 115.373307 (= 3√1479) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3311 × |
13311 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eleven |
| Binary (base 2) | 11001111111111 |
| Octal (base 8) | 31777 |
| Hexadecimal (base 16) | 33FF |
| Base 3 | 200021000 |
| As time | 13311 seconds = 3 h 41 min 51 s |
Is 13311 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 (13311 ÷ 3 = 4437) | 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 1) | 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 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13311 ÷ 9 = 1479) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13311 a prime number?
No. 13311 = × 17 × 29, so it is divisible by 3.
What are the factors of 13311?
1, 3, 9, 17, 27, 29, 51, 87, 153, 261, 459, 493, 783, 1479, 4437, 13311.
What is 13311 in binary?
11001111111111 (hexadecimal 33FF, octal 31777).
What is the square root of 13311?
About 115.3733, exactly 3√1479.
Is 13311 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 13311?
13311 is a Harshad number: divisible by its digit sum 9.