The number 77766
77766 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 997. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 997, 1994, 2991, 5982, 12961, 25922, 38883, 77766.
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How to work it out
- 1
What is special about 77766: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77766 is composite. Its prime factorisation is
- 3
The divisors add up to 167664; without 77766 itself that is 89898, so 77766 is abundant (89898 is more than 77766). Euler's totient φ(77766) = 23904 numbers up to 77766 share no factor with it.
- 4
The digits of 77766 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77766 = 2 \times 3 \times 13 \times 997 \]
77766 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 167664 |
| Euler totient φ(n) | 23904 |
| Square | 6047550756 |
| Cube | 470293832091096 |
| Square root | 278.865559 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7766 × |
77766 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and sixty-six |
| Binary (base 2) | 10010111111000110 |
| Octal (base 8) | 227706 |
| Hexadecimal (base 16) | 12FC6 |
| Base 3 | 10221200020 |
| As time | 77766 seconds = 21 h 36 min 6 s |
Is 77766 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77766 ÷ 2 = 38883) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77766 ÷ 3 = 25922) | 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 (77766 ÷ 6 = 12961) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 6) | 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 7) | 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 77766 a prime number?
No. 77766 = 2 × 3 × 13 × 997, so it is divisible by 2.
What are the factors of 77766?
1, 2, 3, 6, 13, 26, 39, 78, 997, 1994, 2991, 5982, 12961, 25922, 38883, 77766.
What is 77766 in binary?
10010111111000110 (hexadecimal 12FC6, octal 227706).
What is the square root of 77766?
About 278.8656.
Is 77766 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77766?
77766 is a happy number: repeatedly adding the squares of its digits reaches 1.