The number 13316
13316 is a composite number with 6 divisors. Its prime factorisation is × 3329. Divisors (6): 1, 2, 4, 3329, 6658, 13316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13316 is composite. Its prime factorisation is
- 3
The divisors add up to 23310; without 13316 itself that is 9994, so 13316 is deficient (9994 is less than 13316). Euler's totient φ(13316) = 6656 numbers up to 13316 share no factor with it.
- 4
The digits of 13316 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13316 = 2^{2} \times 3329 \]13316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23310 |
| Euler totient φ(n) | 6656 |
| Square | 177315856 |
| Cube | 2361137938496 |
| Square root | 115.394974 (= 2√3329) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3316 × |
13316 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and sixteen |
| Binary (base 2) | 11010000000100 |
| Octal (base 8) | 32004 |
| Hexadecimal (base 16) | 3404 |
| Base 3 | 200021012 |
| As time | 13316 seconds = 3 h 41 min 56 s |
Is 13316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13316 ÷ 2 = 6658) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13316 ÷ 4 = 3329) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13316 a prime number?
No. 13316 = × 3329, so it is divisible by 2.
What are the factors of 13316?
1, 2, 4, 3329, 6658, 13316.
What is 13316 in binary?
11010000000100 (hexadecimal 3404, octal 32004).
What is the square root of 13316?
About 115.3950, exactly 2√3329.
Is 13316 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13316?
It is a composite number with 6 divisors.