The number 776
776 is a composite number with 8 divisors. Its prime factorisation is × 97. Divisors (8): 1, 2, 4, 8, 97, 194, 388, 776.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
776 is composite. Its prime factorisation is
- 3
The divisors add up to 1470; without 776 itself that is 694, so 776 is deficient (694 is less than 776). Euler's totient φ(776) = 384 numbers up to 776 share no factor with it.
- 4
The digits of 776 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 776 = 2^{3} \times 97 \]776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1470 |
| Euler totient φ(n) | 384 |
| Square | 602176 |
| Cube | 467288576 |
| Square root | 27.856777 (= 2√194) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 121 |
| Scientific notation | 7.76 × |
776 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and seventy-six |
| Roman numerals | DCCLXXVI |
| Binary (base 2) | 1100001000 |
| Octal (base 8) | 1410 |
| Hexadecimal (base 16) | 308 |
| Base 3 | 1001202 |
| As time | 776 seconds = 12 min 56 s |
Is 776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (776 ÷ 2 = 388) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (776 ÷ 4 = 194) | 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 | No (remainder 2) | 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 | Yes (776 ÷ 8 = 97) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 776 a prime number?
No. 776 = × 97, so it is divisible by 2.
What are the factors of 776?
1, 2, 4, 8, 97, 194, 388, 776.
What is 776 in binary?
1100001000 (hexadecimal 308, octal 1410).
What is the square root of 776?
About 27.8568, exactly 2√194.
What is 776 in Roman numerals?
DCCLXXVI.
Is 776 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 776?
It is a composite number with 8 divisors.