The number 76791
76791 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 179. Divisors (16): 1, 3, 11, 13, 33, 39, 143, 179, 429, 537, 1969, 2327, 5907, 6981, 25597, 76791.
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How to work it out
- 1
76791 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76791 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 76791 itself that is 44169, so 76791 is deficient (44169 is less than 76791). Euler's totient φ(76791) = 42720 numbers up to 76791 share no factor with it.
- 4
The digits of 76791 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76791 = 3 \times 11 \times 13 \times 179 \]
76791 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 42720 |
| Square | 5896857681 |
| Cube | 452825598181671 |
| Square root | 277.111891 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6791 × |
76791 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and ninety-one |
| Binary (base 2) | 10010101111110111 |
| Octal (base 8) | 225767 |
| Hexadecimal (base 16) | 12BF7 |
| Base 3 | 10220100010 |
| As time | 76791 seconds = 21 h 19 min 51 s |
Is 76791 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76791 ÷ 3 = 25597) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (76791 ÷ 11 = 6981) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76791 a prime number?
No. 76791 = 3 × 11 × 13 × 179, so it is divisible by 3.
What are the factors of 76791?
1, 3, 11, 13, 33, 39, 143, 179, 429, 537, 1969, 2327, 5907, 6981, 25597, 76791.
What is 76791 in binary?
10010101111110111 (hexadecimal 12BF7, octal 225767).
What is the square root of 76791?
About 277.1119.
Is 76791 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 76791?
It is a composite number with 16 divisors.