The number 13317
13317 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 193. Divisors (8): 1, 3, 23, 69, 193, 579, 4439, 13317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13317 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13317 is composite. Its prime factorisation is
- 3
The divisors add up to 18624; without 13317 itself that is 5307, so 13317 is deficient (5307 is less than 13317). Euler's totient φ(13317) = 8448 numbers up to 13317 share no factor with it.
- 4
The digits of 13317 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13317 = 3 \times 23 \times 193 \]
13317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18624 |
| Euler totient φ(n) | 8448 |
| Square | 177342489 |
| Cube | 2361669926013 |
| Square root | 115.399307 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3317 × |
13317 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and seventeen |
| Binary (base 2) | 11010000000101 |
| Octal (base 8) | 32005 |
| Hexadecimal (base 16) | 3405 |
| Base 3 | 200021020 |
| As time | 13317 seconds = 3 h 41 min 57 s |
Is 13317 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 (13317 ÷ 3 = 4439) | 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 2) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13317 a prime number?
No. 13317 = 3 × 23 × 193, so it is divisible by 3.
What are the factors of 13317?
1, 3, 23, 69, 193, 579, 4439, 13317.
What is 13317 in binary?
11010000000101 (hexadecimal 3405, octal 32005).
What is the square root of 13317?
About 115.3993.
Is 13317 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13317?
It is a composite number with 8 divisors.