The number 764
764 is a composite number with 6 divisors. Its prime factorisation is × 191. Divisors (6): 1, 2, 4, 191, 382, 764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
764 is composite. Its prime factorisation is
- 3
The divisors add up to 1344; without 764 itself that is 580, so 764 is deficient (580 is less than 764). Euler's totient φ(764) = 380 numbers up to 764 share no factor with it.
- 4
The digits of 764 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 764 = 2^{2} \times 191 \]764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1344 |
| Euler totient φ(n) | 380 |
| Square | 583696 |
| Cube | 445943744 |
| Square root | 27.640550 (= 2√191) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 7.64 × |
764 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and sixty-four |
| Roman numerals | DCCLXIV |
| Binary (base 2) | 1011111100 |
| Octal (base 8) | 1374 |
| Hexadecimal (base 16) | 2FC |
| Base 3 | 1001022 |
| As time | 764 seconds = 12 min 44 s |
Is 764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (764 ÷ 2 = 382) | 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 (764 ÷ 4 = 191) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 764 a prime number?
No. 764 = × 191, so it is divisible by 2.
What are the factors of 764?
1, 2, 4, 191, 382, 764.
What is 764 in binary?
1011111100 (hexadecimal 2FC, octal 1374).
What is the square root of 764?
About 27.6405, exactly 2√191.
What is 764 in Roman numerals?
DCCLXIV.
Is 764 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 764?
It is a composite number with 6 divisors.