The number 76684
76684 is a composite number with 12 divisors. Its prime factorisation is × 19 × 1009. Divisors (12): 1, 2, 4, 19, 38, 76, 1009, 2018, 4036, 19171, 38342, 76684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76684 is composite. Its prime factorisation is
- 3
The divisors add up to 141400; without 76684 itself that is 64716, so 76684 is deficient (64716 is less than 76684). Euler's totient φ(76684) = 36288 numbers up to 76684 share no factor with it.
- 4
The digits of 76684 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76684 = 2^{2} \times 19 \times 1009 \]76684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 141400 |
| Euler totient φ(n) | 36288 |
| Square | 5880435856 |
| Cube | 450935343181504 |
| Square root | 276.918761 (= 2√19171) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.6684 × |
76684 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand six hundred and eighty-four |
| Binary (base 2) | 10010101110001100 |
| Octal (base 8) | 225614 |
| Hexadecimal (base 16) | 12B8C |
| Base 3 | 10220012011 |
| As time | 76684 seconds = 21 h 18 min 4 s |
Is 76684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76684 ÷ 2 = 38342) | 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 | Yes (76684 ÷ 4 = 19171) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76684 a prime number?
No. 76684 = × 19 × 1009, so it is divisible by 2.
What are the factors of 76684?
1, 2, 4, 19, 38, 76, 1009, 2018, 4036, 19171, 38342, 76684.
What is 76684 in binary?
10010101110001100 (hexadecimal 12B8C, octal 225614).
What is the square root of 76684?
About 276.9188, exactly 2√19171.
Is 76684 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 76684?
It is a composite number with 12 divisors.