The number 13336
13336 is a composite number with 8 divisors. Its prime factorisation is × 1667. Divisors (8): 1, 2, 4, 8, 1667, 3334, 6668, 13336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13336 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13336 is composite. Its prime factorisation is
- 3
The divisors add up to 25020; without 13336 itself that is 11684, so 13336 is deficient (11684 is less than 13336). Euler's totient φ(13336) = 6664 numbers up to 13336 share no factor with it.
- 4
The digits of 13336 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13336 = 2^{3} \times 1667 \]13336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25020 |
| Euler totient φ(n) | 6664 |
| Square | 177848896 |
| Cube | 2371792877056 |
| Square root | 115.481600 (= 2√3334) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3336 × |
13336 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-six |
| Binary (base 2) | 11010000011000 |
| Octal (base 8) | 32030 |
| Hexadecimal (base 16) | 3418 |
| Base 3 | 200021221 |
| As time | 13336 seconds = 3 h 42 min 16 s |
Is 13336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13336 ÷ 2 = 6668) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13336 ÷ 4 = 3334) | 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 4) | 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 | Yes (13336 ÷ 8 = 1667) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13336 a prime number?
No. 13336 = × 1667, so it is divisible by 2.
What are the factors of 13336?
1, 2, 4, 8, 1667, 3334, 6668, 13336.
What is 13336 in binary?
11010000011000 (hexadecimal 3418, octal 32030).
What is the square root of 13336?
About 115.4816, exactly 2√3334.
Is 13336 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13336?
It is a composite number with 8 divisors.