The number 76704
76704 is a composite number with 48 divisors. Its prime factorisation is × 3 × 17 × 47. Divisors (48): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 47, 48, 51, 68 … 76704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76704: a Harshad number: divisible by its digit sum 24.
- 2
76704 is composite. Its prime factorisation is
- 3
The divisors add up to 217728; without 76704 itself that is 141024, so 76704 is abundant (141024 is more than 76704). Euler's totient φ(76704) = 23552 numbers up to 76704 share no factor with it.
- 4
The digits of 76704 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76704 = 2^{5} \times 3 \times 17 \times 47 \]76704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 217728 |
| Euler totient φ(n) | 23552 |
| Square | 5883503616 |
| Cube | 451288261361664 |
| Square root | 276.954870 (= 4√4794) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.6704 × |
76704 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and four |
| Binary (base 2) | 10010101110100000 |
| Octal (base 8) | 225640 |
| Hexadecimal (base 16) | 12BA0 |
| Base 3 | 10220012220 |
| As time | 76704 seconds = 21 h 18 min 24 s |
Is 76704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76704 ÷ 2 = 38352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76704 ÷ 3 = 25568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76704 ÷ 4 = 19176) | 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 | Yes (76704 ÷ 6 = 12784) | 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 | Yes (76704 ÷ 8 = 9588) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76704 ÷ 12 = 6392) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76704 a prime number?
No. 76704 = × 3 × 17 × 47, so it is divisible by 2.
What are the factors of 76704?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 47, 48, 51, 68, 94, 96, 102, 136, 141, 188, 204, 272, 282, 376, 408, 544, 564, 752, 799, 816, 1128, 1504, 1598, 1632, 2256, 2397, 3196, 4512, 4794, 6392, 9588, 12784, 19176, 25568, 38352, 76704.
What is 76704 in binary?
10010101110100000 (hexadecimal 12BA0, octal 225640).
What is the square root of 76704?
About 276.9549, exactly 4√4794.
Is 76704 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 76704?
76704 is a Harshad number: divisible by its digit sum 24.