The number 67836
67836 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5653. Divisors (12): 1, 2, 3, 4, 6, 12, 5653, 11306, 16959, 22612, 33918, 67836.
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How to work it out
- 1
67836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67836 is composite. Its prime factorisation is
- 3
The divisors add up to 158312; without 67836 itself that is 90476, so 67836 is abundant (90476 is more than 67836). Euler's totient φ(67836) = 22608 numbers up to 67836 share no factor with it.
- 4
The digits of 67836 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67836 = 2^{2} \times 3 \times 5653 \]67836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 158312 |
| Euler totient φ(n) | 22608 |
| Square | 4601722896 |
| Cube | 312162474373056 |
| Square root | 260.453451 (= 2√16959) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7836 × |
67836 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and thirty-six |
| Binary (base 2) | 10000100011111100 |
| Octal (base 8) | 204374 |
| Hexadecimal (base 16) | 108FC |
| Base 3 | 10110001110 |
| As time | 67836 seconds = 18 h 50 min 36 s |
Is 67836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67836 ÷ 2 = 33918) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67836 ÷ 3 = 22612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67836 ÷ 4 = 16959) | 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 | Yes (67836 ÷ 6 = 11306) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67836 ÷ 12 = 5653) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67836 a prime number?
No. 67836 = × 3 × 5653, so it is divisible by 2.
What are the factors of 67836?
1, 2, 3, 4, 6, 12, 5653, 11306, 16959, 22612, 33918, 67836.
What is 67836 in binary?
10000100011111100 (hexadecimal 108FC, octal 204374).
What is the square root of 67836?
About 260.4535, exactly 2√16959.
Is 67836 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67836?
It is a composite number with 12 divisors.