The number 67077
67077 is a composite number with 12 divisors. Its prime factorisation is × 29 × 257. Divisors (12): 1, 3, 9, 29, 87, 257, 261, 771, 2313, 7453, 22359, 67077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67077 is composite. Its prime factorisation is
- 3
The divisors add up to 100620; without 67077 itself that is 33543, so 67077 is deficient (33543 is less than 67077). Euler's totient φ(67077) = 43008 numbers up to 67077 share no factor with it.
- 4
The digits of 67077 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67077 = 3^{2} \times 29 \times 257 \]67077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100620 |
| Euler totient φ(n) | 43008 |
| Square | 4499323929 |
| Cube | 301801151185533 |
| Square root | 258.992278 (= 3√7453) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.7077 × |
67077 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and seventy-seven |
| Binary (base 2) | 10000011000000101 |
| Octal (base 8) | 203005 |
| Hexadecimal (base 16) | 10605 |
| Base 3 | 10102000100 |
| As time | 67077 seconds = 18 h 37 min 57 s |
Is 67077 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 (67077 ÷ 3 = 22359) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67077 ÷ 9 = 7453) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67077 a prime number?
No. 67077 = × 29 × 257, so it is divisible by 3.
What are the factors of 67077?
1, 3, 9, 29, 87, 257, 261, 771, 2313, 7453, 22359, 67077.
What is 67077 in binary?
10000011000000101 (hexadecimal 10605, octal 203005).
What is the square root of 67077?
About 258.9923, exactly 3√7453.
Is 67077 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67077?
It is a composite number with 12 divisors.