The number 77067
77067 is a composite number with 6 divisors. Its prime factorisation is × 8563. Divisors (6): 1, 3, 9, 8563, 25689, 77067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77067 is composite. Its prime factorisation is
- 3
The divisors add up to 111332; without 77067 itself that is 34265, so 77067 is deficient (34265 is less than 77067). Euler's totient φ(77067) = 51372 numbers up to 77067 share no factor with it.
- 4
The digits of 77067 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77067 = 3^{2} \times 8563 \]77067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 111332 |
| Euler totient φ(n) | 51372 |
| Square | 5939322489 |
| Cube | 457725766259763 |
| Square root | 277.609438 (= 3√8563) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7067 × |
77067 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and sixty-seven |
| Binary (base 2) | 10010110100001011 |
| Octal (base 8) | 226413 |
| Hexadecimal (base 16) | 12D0B |
| Base 3 | 10220201100 |
| As time | 77067 seconds = 21 h 24 min 27 s |
Is 77067 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 (77067 ÷ 3 = 25689) | 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 2) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77067 ÷ 9 = 8563) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 77067 a prime number?
No. 77067 = × 8563, so it is divisible by 3.
What are the factors of 77067?
1, 3, 9, 8563, 25689, 77067.
What is 77067 in binary?
10010110100001011 (hexadecimal 12D0B, octal 226413).
What is the square root of 77067?
About 277.6094, exactly 3√8563.
Is 77067 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77067?
It is a composite number with 6 divisors.