The number 76764
76764 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6397. Divisors (12): 1, 2, 3, 4, 6, 12, 6397, 12794, 19191, 25588, 38382, 76764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76764 is composite. Its prime factorisation is
- 3
The divisors add up to 179144; without 76764 itself that is 102380, so 76764 is abundant (102380 is more than 76764). Euler's totient φ(76764) = 25584 numbers up to 76764 share no factor with it.
- 4
The digits of 76764 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76764 = 2^{2} \times 3 \times 6397 \]76764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 179144 |
| Euler totient φ(n) | 25584 |
| Square | 5892711696 |
| Cube | 452348120631744 |
| Square root | 277.063170 (= 2√19191) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6764 × |
76764 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and sixty-four |
| Binary (base 2) | 10010101111011100 |
| Octal (base 8) | 225734 |
| Hexadecimal (base 16) | 12BDC |
| Base 3 | 10220022010 |
| As time | 76764 seconds = 21 h 19 min 24 s |
Is 76764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76764 ÷ 2 = 38382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76764 ÷ 3 = 25588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76764 ÷ 4 = 19191) | 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 | Yes (76764 ÷ 6 = 12794) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76764 ÷ 12 = 6397) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76764 a prime number?
No. 76764 = × 3 × 6397, so it is divisible by 2.
What are the factors of 76764?
1, 2, 3, 4, 6, 12, 6397, 12794, 19191, 25588, 38382, 76764.
What is 76764 in binary?
10010101111011100 (hexadecimal 12BDC, octal 225734).
What is the square root of 76764?
About 277.0632, exactly 2√19191.
Is 76764 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 76764?
It is a composite number with 12 divisors.