The number 40704
40704 is a palindrome: it reads 40704 backwards too. Its prime factorisation is × 3 × 53. Divisors (36): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128 … 40704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40704: a palindrome: it reads 40704 backwards too.
- 2
40704 is composite. Its prime factorisation is
- 3
The divisors add up to 110376; without 40704 itself that is 69672, so 40704 is abundant (69672 is more than 40704). Euler's totient φ(40704) = 13312 numbers up to 40704 share no factor with it.
- 4
The digits of 40704 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40704 = 2^{8} \times 3 \times 53 \]40704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 110376 |
| Euler totient φ(n) | 13312 |
| Square | 1656815616 |
| Cube | 67439022833664 |
| Square root | 201.752323 (= 16√159) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0704 × |
40704 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and four |
| Binary (base 2) | 1001111100000000 |
| Octal (base 8) | 117400 |
| Hexadecimal (base 16) | 9F00 |
| Base 3 | 2001211120 |
| As time | 40704 seconds = 11 h 18 min 24 s |
Is 40704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40704 ÷ 2 = 20352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40704 ÷ 3 = 13568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40704 ÷ 4 = 10176) | 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 (40704 ÷ 6 = 6784) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (40704 ÷ 8 = 5088) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40704 ÷ 12 = 3392) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40704 a prime number?
No. 40704 = × 3 × 53, so it is divisible by 2.
What are the factors of 40704?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128, 159, 192, 212, 256, 318, 384, 424, 636, 768, 848, 1272, 1696, 2544, 3392, 5088, 6784, 10176, 13568, 20352, 40704.
What is 40704 in binary?
1001111100000000 (hexadecimal 9F00, octal 117400).
What is the square root of 40704?
About 201.7523, exactly 16√159.
Is 40704 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40704?
40704 is a palindrome: it reads 40704 backwards too.