The number 67136
67136 is a composite number with 14 divisors. Its prime factorisation is × 1049. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1049, 2098, 4196, 8392, 16784, 33568, 67136.
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How to work it out
- 1
67136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67136 is composite. Its prime factorisation is
- 3
The divisors add up to 133350; without 67136 itself that is 66214, so 67136 is deficient (66214 is less than 67136). Euler's totient φ(67136) = 33536 numbers up to 67136 share no factor with it.
- 4
The digits of 67136 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67136 = 2^{6} \times 1049 \]67136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 133350 |
| Euler totient φ(n) | 33536 |
| Square | 4507242496 |
| Cube | 302598232211456 |
| Square root | 259.106156 (= 8√1049) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7136 × |
67136 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirty-six |
| Binary (base 2) | 10000011001000000 |
| Octal (base 8) | 203100 |
| Hexadecimal (base 16) | 10640 |
| Base 3 | 10102002112 |
| As time | 67136 seconds = 18 h 38 min 56 s |
Is 67136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67136 ÷ 2 = 33568) | 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 (67136 ÷ 4 = 16784) | 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 6) | 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 (67136 ÷ 8 = 8392) | 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 3) | 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 67136 a prime number?
No. 67136 = × 1049, so it is divisible by 2.
What are the factors of 67136?
1, 2, 4, 8, 16, 32, 64, 1049, 2098, 4196, 8392, 16784, 33568, 67136.
What is 67136 in binary?
10000011001000000 (hexadecimal 10640, octal 203100).
What is the square root of 67136?
About 259.1062, exactly 8√1049.
Is 67136 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67136?
It is a composite number with 14 divisors.