The number 40904
40904 is a palindrome: it reads 40904 backwards too. Its prime factorisation is × 5113. Divisors (8): 1, 2, 4, 8, 5113, 10226, 20452, 40904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40904: a palindrome: it reads 40904 backwards too.
- 2
40904 is composite. Its prime factorisation is
- 3
The divisors add up to 76710; without 40904 itself that is 35806, so 40904 is deficient (35806 is less than 40904). Euler's totient φ(40904) = 20448 numbers up to 40904 share no factor with it.
- 4
The digits of 40904 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40904 = 2^{3} \times 5113 \]40904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76710 |
| Euler totient φ(n) | 20448 |
| Square | 1673137216 |
| Cube | 68438004683264 |
| Square root | 202.247373 (= 2√10226) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0904 × |
40904 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and four |
| Binary (base 2) | 1001111111001000 |
| Octal (base 8) | 117710 |
| Hexadecimal (base 16) | 9FC8 |
| Base 3 | 2002002222 |
| As time | 40904 seconds = 11 h 21 min 44 s |
Is 40904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40904 ÷ 2 = 20452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40904 ÷ 4 = 10226) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (40904 ÷ 8 = 5113) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40904 a prime number?
No. 40904 = × 5113, so it is divisible by 2.
What are the factors of 40904?
1, 2, 4, 8, 5113, 10226, 20452, 40904.
What is 40904 in binary?
1001111111001000 (hexadecimal 9FC8, octal 117710).
What is the square root of 40904?
About 202.2474, exactly 2√10226.
Is 40904 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40904?
40904 is a palindrome: it reads 40904 backwards too.