The number 7704
7704 is a composite number with 24 divisors. Its prime factorisation is × × 107. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428 … 7704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7704: a Harshad number: divisible by its digit sum 18.
- 2
7704 is composite. Its prime factorisation is
- 3
The divisors add up to 21060; without 7704 itself that is 13356, so 7704 is abundant (13356 is more than 7704). Euler's totient φ(7704) = 2544 numbers up to 7704 share no factor with it.
- 4
The digits of 7704 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7704 = 2^{3} \times 3^{2} \times 107 \]7704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 21060 |
| Euler totient φ(n) | 2544 |
| Square | 59351616 |
| Cube | 457244849664 |
| Square root | 87.772433 (= 6√214) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.704 × |
7704 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and four |
| Binary (base 2) | 1111000011000 |
| Octal (base 8) | 17030 |
| Hexadecimal (base 16) | 1E18 |
| Base 3 | 101120100 |
| As time | 7704 seconds = 2 h 8 min 24 s |
Is 7704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7704 ÷ 2 = 3852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7704 ÷ 3 = 2568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7704 ÷ 4 = 1926) | 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 (7704 ÷ 6 = 1284) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (7704 ÷ 8 = 963) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7704 ÷ 9 = 856) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7704 ÷ 12 = 642) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7704 a prime number?
No. 7704 = × × 107, so it is divisible by 2.
What are the factors of 7704?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704.
What is 7704 in binary?
1111000011000 (hexadecimal 1E18, octal 17030).
What is the square root of 7704?
About 87.7724, exactly 6√214.
Is 7704 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7704?
7704 is a Harshad number: divisible by its digit sum 18.