The number 766
766 is a composite number with 4 divisors. Its prime factorisation is 2 × 383. Divisors (4): 1, 2, 383, 766.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 766: a semiprime: 2 × 383, the product of two primes.
- 2
766 is composite. Its prime factorisation is
- 3
The divisors add up to 1152; without 766 itself that is 386, so 766 is deficient (386 is less than 766). Euler's totient φ(766) = 382 numbers up to 766 share no factor with it.
- 4
The digits of 766 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 766 = 2 \times 383 \]
766 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1152 |
| Euler totient φ(n) | 382 |
| Square | 586756 |
| Cube | 449455096 |
| Square root | 27.676705 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 46 |
| Scientific notation | 7.66 × |
766 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and sixty-six |
| Roman numerals | DCCLXVI |
| Binary (base 2) | 1011111110 |
| Octal (base 8) | 1376 |
| Hexadecimal (base 16) | 2FE |
| Base 3 | 1001101 |
| As time | 766 seconds = 12 min 46 s |
Is 766 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (766 ÷ 2 = 383) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 1) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 766 a prime number?
No. 766 = 2 × 383, so it is divisible by 2.
What are the factors of 766?
1, 2, 383, 766.
What is 766 in binary?
1011111110 (hexadecimal 2FE, octal 1376).
What is the square root of 766?
About 27.6767.
What is 766 in Roman numerals?
DCCLXVI.
Is 766 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 766?
766 is a semiprime: 2 × 383, the product of two primes.