The number 4704
4704 is a composite number with 36 divisors. Its prime factorisation is × 3 × . Divisors (36): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 4704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4704 is composite. Its prime factorisation is
- 3
The divisors add up to 14364; without 4704 itself that is 9660, so 4704 is abundant (9660 is more than 4704). Euler's totient φ(4704) = 1344 numbers up to 4704 share no factor with it.
- 4
The digits of 4704 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4704 = 2^{5} \times 3 \times 7^{2} \]4704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 14364 |
| Euler totient φ(n) | 1344 |
| Square | 22127616 |
| Cube | 104088305664 |
| Square root | 68.585713 (= 28√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.704 × |
4704 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and four |
| Binary (base 2) | 1001001100000 |
| Octal (base 8) | 11140 |
| Hexadecimal (base 16) | 1260 |
| Base 3 | 20110020 |
| As time | 4704 seconds = 1 h 18 min 24 s |
Is 4704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4704 ÷ 2 = 2352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4704 ÷ 3 = 1568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4704 ÷ 4 = 1176) | 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 (4704 ÷ 6 = 784) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4704 ÷ 7 = 672) | 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 (4704 ÷ 8 = 588) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4704 ÷ 12 = 392) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4704 a prime number?
No. 4704 = × 3 × , so it is divisible by 2.
What are the factors of 4704?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704.
What is 4704 in binary?
1001001100000 (hexadecimal 1260, octal 11140).
What is the square root of 4704?
About 68.5857, exactly 28√6.
Is 4704 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4704?
It is a composite number with 36 divisors.