The number 77684
77684 is a composite number with 6 divisors. Its prime factorisation is × 19421. Divisors (6): 1, 2, 4, 19421, 38842, 77684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77684 is composite. Its prime factorisation is
- 3
The divisors add up to 135954; without 77684 itself that is 58270, so 77684 is deficient (58270 is less than 77684). Euler's totient φ(77684) = 38840 numbers up to 77684 share no factor with it.
- 4
The digits of 77684 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77684 = 2^{2} \times 19421 \]77684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 135954 |
| Euler totient φ(n) | 38840 |
| Square | 6034803856 |
| Cube | 468807702749504 |
| Square root | 278.718496 (= 2√19421) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7684 × |
77684 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and eighty-four |
| Binary (base 2) | 10010111101110100 |
| Octal (base 8) | 227564 |
| Hexadecimal (base 16) | 12F74 |
| Base 3 | 10221120012 |
| As time | 77684 seconds = 21 h 34 min 44 s |
Is 77684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77684 ÷ 2 = 38842) | 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 (77684 ÷ 4 = 19421) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 77684 a prime number?
No. 77684 = × 19421, so it is divisible by 2.
What are the factors of 77684?
1, 2, 4, 19421, 38842, 77684.
What is 77684 in binary?
10010111101110100 (hexadecimal 12F74, octal 227564).
What is the square root of 77684?
About 278.7185, exactly 2√19421.
Is 77684 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 77684?
It is a composite number with 6 divisors.