The number 40804
40804 is a perfect square (202²) and a palindrome: it reads 40804 backwards too. Its prime factorisation is × . Divisors (9): 1, 2, 4, 101, 202, 404, 10201, 20402, 40804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40804: a perfect square (202²); a palindrome: it reads 40804 backwards too.
- 2
40804 is composite. Its prime factorisation is
- 3
The divisors add up to 72121; without 40804 itself that is 31317, so 40804 is deficient (31317 is less than 40804). Euler's totient φ(40804) = 20200 numbers up to 40804 share no factor with it.
- 4
The digits of 40804 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40804 = 2^{2} \times 101^{2} \]40804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 72121 |
| Euler totient φ(n) | 20200 |
| Square | 1664966416 |
| Cube | 67937289638464 |
| Square root | 202 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0804 × |
| Perfect power |
40804 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and four |
| Binary (base 2) | 1001111101100100 |
| Octal (base 8) | 117544 |
| Hexadecimal (base 16) | 9F64 |
| Base 3 | 2001222021 |
| As time | 40804 seconds = 11 h 20 min 4 s |
Is 40804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40804 ÷ 2 = 20402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40804 ÷ 4 = 10201) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40804 a prime number?
No. 40804 = × , so it is divisible by 2.
What are the factors of 40804?
1, 2, 4, 101, 202, 404, 10201, 20402, 40804.
What is 40804 in binary?
1001111101100100 (hexadecimal 9F64, octal 117544).
What is the square root of 40804?
202, because 202 × 202 = 40804.
Is 40804 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40804?
40804 is a perfect square (202²); a palindrome: it reads 40804 backwards too.