The number 77706
77706 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1439. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1439, 2878, 4317, 8634, 12951, 25902, 38853, 77706.
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How to work it out
- 1
What is special about 77706: a Harshad number: divisible by its digit sum 27.
- 2
77706 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 77706 itself that is 95094, so 77706 is abundant (95094 is more than 77706). Euler's totient φ(77706) = 25884 numbers up to 77706 share no factor with it.
- 4
The digits of 77706 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77706 = 2 \times 3^{3} \times 1439 \]77706 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 25884 |
| Square | 6038222436 |
| Cube | 469206112611816 |
| Square root | 278.757960 (= 3√8634) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7706 × |
77706 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and six |
| Binary (base 2) | 10010111110001010 |
| Octal (base 8) | 227612 |
| Hexadecimal (base 16) | 12F8A |
| Base 3 | 10221121000 |
| As time | 77706 seconds = 21 h 35 min 6 s |
Is 77706 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77706 ÷ 2 = 38853) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77706 ÷ 3 = 25902) | 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 (77706 ÷ 6 = 12951) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77706 ÷ 9 = 8634) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77706 a prime number?
No. 77706 = 2 × × 1439, so it is divisible by 2.
What are the factors of 77706?
1, 2, 3, 6, 9, 18, 27, 54, 1439, 2878, 4317, 8634, 12951, 25902, 38853, 77706.
What is 77706 in binary?
10010111110001010 (hexadecimal 12F8A, octal 227612).
What is the square root of 77706?
About 278.7580, exactly 3√8634.
Is 77706 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77706?
77706 is a Harshad number: divisible by its digit sum 27.