The number 77077
77077 is a palindrome: it reads 77077 backwards too. Its prime factorisation is × × 13. Divisors (18): 1, 7, 11, 13, 49, 77, 91, 121, 143, 539, 637, 847, 1001, 1573, 5929, 7007 … 77077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77077: a palindrome: it reads 77077 backwards too.
- 2
77077 is composite. Its prime factorisation is
- 3
The divisors add up to 106134; without 77077 itself that is 29057, so 77077 is deficient (29057 is less than 77077). Euler's totient φ(77077) = 55440 numbers up to 77077 share no factor with it.
- 4
The digits of 77077 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77077 = 7^{2} \times 11^{2} \times 13 \]77077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 106134 |
| Euler totient φ(n) | 55440 |
| Square | 5940863929 |
| Cube | 457903969055533 |
| Square root | 277.627448 (= 77√13) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7077 × |
77077 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and seventy-seven |
| Binary (base 2) | 10010110100010101 |
| Octal (base 8) | 226425 |
| Hexadecimal (base 16) | 12D15 |
| Base 3 | 10220201201 |
| As time | 77077 seconds = 21 h 24 min 37 s |
Is 77077 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77077 ÷ 7 = 11011) | 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 | No (remainder 1) | 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 | Yes (77077 ÷ 11 = 7007) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77077 a prime number?
No. 77077 = × × 13, so it is divisible by 7.
What are the factors of 77077?
1, 7, 11, 13, 49, 77, 91, 121, 143, 539, 637, 847, 1001, 1573, 5929, 7007, 11011, 77077.
What is 77077 in binary?
10010110100010101 (hexadecimal 12D15, octal 226425).
What is the square root of 77077?
About 277.6274, exactly 77√13.
Is 77077 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77077?
77077 is a palindrome: it reads 77077 backwards too.