The number 77708
77708 is a composite number with 6 divisors. Its prime factorisation is × 19427. Divisors (6): 1, 2, 4, 19427, 38854, 77708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77708 is composite. Its prime factorisation is
- 3
The divisors add up to 135996; without 77708 itself that is 58288, so 77708 is deficient (58288 is less than 77708). Euler's totient φ(77708) = 38852 numbers up to 77708 share no factor with it.
- 4
The digits of 77708 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77708 = 2^{2} \times 19427 \]77708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 135996 |
| Euler totient φ(n) | 38852 |
| Square | 6038533264 |
| Cube | 469242342878912 |
| Square root | 278.761547 (= 2√19427) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7708 × |
77708 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and eight |
| Binary (base 2) | 10010111110001100 |
| Octal (base 8) | 227614 |
| Hexadecimal (base 16) | 12F8C |
| Base 3 | 10221121002 |
| As time | 77708 seconds = 21 h 35 min 8 s |
Is 77708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77708 ÷ 2 = 38854) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77708 ÷ 4 = 19427) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77708 a prime number?
No. 77708 = × 19427, so it is divisible by 2.
What are the factors of 77708?
1, 2, 4, 19427, 38854, 77708.
What is 77708 in binary?
10010111110001100 (hexadecimal 12F8C, octal 227614).
What is the square root of 77708?
About 278.7615, exactly 2√19427.
Is 77708 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77708?
It is a composite number with 6 divisors.