The number 88704
88704 is a composite number with 96 divisors. Its prime factorisation is × × 7 × 11. Divisors (96): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24 … 88704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88704: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88704 is composite. Its prime factorisation is
- 3
The divisors add up to 318240; without 88704 itself that is 229536, so 88704 is abundant (229536 is more than 88704). Euler's totient φ(88704) = 23040 numbers up to 88704 share no factor with it.
- 4
The digits of 88704 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88704 = 2^{7} \times 3^{2} \times 7 \times 11 \]88704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 96 |
| Sum of divisors | 318240 |
| Euler totient φ(n) | 23040 |
| Square | 7868399616 |
| Cube | 697958519537664 |
| Square root | 297.832168 (= 24√154) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 8.8704 × |
88704 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand seven hundred and four |
| Binary (base 2) | 10101101010000000 |
| Octal (base 8) | 255200 |
| Hexadecimal (base 16) | 15A80 |
| Base 3 | 11111200100 |
| As time | 88704 seconds = 24 h 38 min 24 s |
Is 88704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88704 ÷ 2 = 44352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88704 ÷ 3 = 29568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88704 ÷ 4 = 22176) | 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 (88704 ÷ 6 = 14784) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88704 ÷ 7 = 12672) | 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 (88704 ÷ 8 = 11088) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88704 ÷ 9 = 9856) | 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 | Yes (88704 ÷ 11 = 8064) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88704 ÷ 12 = 7392) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88704 a prime number?
No. 88704 = × × 7 × 11, so it is divisible by 2.
What are the factors of 88704?
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 28, 32, 33, 36, 42, 44, 48, 56, 63, 64, 66, 72, 77, 84, 88, 96, 99, 112, 126, 128, 132, 144, 154, 168, 176, 192, 198, 224, 231, 252, 264, 288, 308, 336, 352, 384, 396, 448, 462, 504, 528, 576, 616, 672, 693, 704, 792, 896, 924, 1008, 1056, 1152, 1232, 1344, 1386, 1408, 1584, 1848, 2016, 2112, 2464, 2688, 2772, 3168, 3696, 4032, 4224, 4928, 5544, 6336, 7392, 8064, 9856, 11088, 12672, 14784, 22176, 29568, 44352, 88704.
What is 88704 in binary?
10101101010000000 (hexadecimal 15A80, octal 255200).
What is the square root of 88704?
About 297.8322, exactly 24√154.
Is 88704 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88704?
88704 is a happy number: repeatedly adding the squares of its digits reaches 1.