The number 67986
67986 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1259. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1259, 2518, 3777, 7554, 11331, 22662, 33993, 67986.
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How to work it out
- 1
67986 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67986 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 67986 itself that is 83214, so 67986 is abundant (83214 is more than 67986). Euler's totient φ(67986) = 22644 numbers up to 67986 share no factor with it.
- 4
The digits of 67986 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67986 = 2 \times 3^{3} \times 1259 \]67986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 22644 |
| Square | 4622096196 |
| Cube | 314237831981256 |
| Square root | 260.741251 (= 3√7554) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7986 × |
67986 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and eighty-six |
| Binary (base 2) | 10000100110010010 |
| Octal (base 8) | 204622 |
| Hexadecimal (base 16) | 10992 |
| Base 3 | 10110021000 |
| As time | 67986 seconds = 18 h 53 min 6 s |
Is 67986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67986 ÷ 2 = 33993) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67986 ÷ 3 = 22662) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (67986 ÷ 6 = 11331) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67986 ÷ 9 = 7554) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67986 a prime number?
No. 67986 = 2 × × 1259, so it is divisible by 2.
What are the factors of 67986?
1, 2, 3, 6, 9, 18, 27, 54, 1259, 2518, 3777, 7554, 11331, 22662, 33993, 67986.
What is 67986 in binary?
10000100110010010 (hexadecimal 10992, octal 204622).
What is the square root of 67986?
About 260.7413, exactly 3√7554.
Is 67986 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 67986?
It is a composite number with 16 divisors.