The number 77166
77166 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1429. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1429, 2858, 4287, 8574, 12861, 25722, 38583, 77166.
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How to work it out
- 1
What is special about 77166: a Harshad number: divisible by its digit sum 27.
- 2
77166 is composite. Its prime factorisation is
- 3
The divisors add up to 171600; without 77166 itself that is 94434, so 77166 is abundant (94434 is more than 77166). Euler's totient φ(77166) = 25704 numbers up to 77166 share no factor with it.
- 4
The digits of 77166 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77166 = 2 \times 3^{3} \times 1429 \]77166 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 171600 |
| Euler totient φ(n) | 25704 |
| Square | 5954591556 |
| Cube | 459492012010296 |
| Square root | 277.787689 (= 3√8574) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7166 × |
77166 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and sixty-six |
| Binary (base 2) | 10010110101101110 |
| Octal (base 8) | 226556 |
| Hexadecimal (base 16) | 12D6E |
| Base 3 | 10220212000 |
| As time | 77166 seconds = 21 h 26 min 6 s |
Is 77166 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77166 ÷ 2 = 38583) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77166 ÷ 3 = 25722) | 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 (77166 ÷ 6 = 12861) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77166 ÷ 9 = 8574) | 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 1) | 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 77166 a prime number?
No. 77166 = 2 × × 1429, so it is divisible by 2.
What are the factors of 77166?
1, 2, 3, 6, 9, 18, 27, 54, 1429, 2858, 4287, 8574, 12861, 25722, 38583, 77166.
What is 77166 in binary?
10010110101101110 (hexadecimal 12D6E, octal 226556).
What is the square root of 77166?
About 277.7877, exactly 3√8574.
Is 77166 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77166?
77166 is a Harshad number: divisible by its digit sum 27.