The number 13136
13136 is a composite number with 10 divisors. Its prime factorisation is × 821. Divisors (10): 1, 2, 4, 8, 16, 821, 1642, 3284, 6568, 13136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13136 is composite. Its prime factorisation is
- 3
The divisors add up to 25482; without 13136 itself that is 12346, so 13136 is deficient (12346 is less than 13136). Euler's totient φ(13136) = 6560 numbers up to 13136 share no factor with it.
- 4
The digits of 13136 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13136 = 2^{4} \times 821 \]13136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 25482 |
| Euler totient φ(n) | 6560 |
| Square | 172554496 |
| Cube | 2266675859456 |
| Square root | 114.612390 (= 4√821) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3136 × |
13136 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirty-six |
| Binary (base 2) | 11001101010000 |
| Octal (base 8) | 31520 |
| Hexadecimal (base 16) | 3350 |
| Base 3 | 200000112 |
| As time | 13136 seconds = 3 h 38 min 56 s |
Is 13136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13136 ÷ 2 = 6568) | 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 (13136 ÷ 4 = 3284) | 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 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 | Yes (13136 ÷ 8 = 1642) | 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 2) | 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 13136 a prime number?
No. 13136 = × 821, so it is divisible by 2.
What are the factors of 13136?
1, 2, 4, 8, 16, 821, 1642, 3284, 6568, 13136.
What is 13136 in binary?
11001101010000 (hexadecimal 3350, octal 31520).
What is the square root of 13136?
About 114.6124, exactly 4√821.
Is 13136 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13136?
It is a composite number with 10 divisors.