The number 76804
76804 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 211. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 211, 364, 422, 844, 1477 … 76804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76804 is composite. Its prime factorisation is
- 3
The divisors add up to 166208; without 76804 itself that is 89404, so 76804 is abundant (89404 is more than 76804). Euler's totient φ(76804) = 30240 numbers up to 76804 share no factor with it.
- 4
The digits of 76804 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76804 = 2^{2} \times 7 \times 13 \times 211 \]76804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 166208 |
| Euler totient φ(n) | 30240 |
| Square | 5898854416 |
| Cube | 453055614566464 |
| Square root | 277.135346 (= 2√19201) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6804 × |
76804 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand eight hundred and four |
| Binary (base 2) | 10010110000000100 |
| Octal (base 8) | 226004 |
| Hexadecimal (base 16) | 12C04 |
| Base 3 | 10220100121 |
| As time | 76804 seconds = 21 h 20 min 4 s |
Is 76804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76804 ÷ 2 = 38402) | 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 (76804 ÷ 4 = 19201) | 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 | Yes (76804 ÷ 7 = 10972) | 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 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76804 a prime number?
No. 76804 = × 7 × 13 × 211, so it is divisible by 2.
What are the factors of 76804?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 211, 364, 422, 844, 1477, 2743, 2954, 5486, 5908, 10972, 19201, 38402, 76804.
What is 76804 in binary?
10010110000000100 (hexadecimal 12C04, octal 226004).
What is the square root of 76804?
About 277.1353, exactly 2√19201.
Is 76804 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 76804?
It is a composite number with 24 divisors.