The number 40808
40808 is a composite number with 8 divisors. Its prime factorisation is × 5101. Divisors (8): 1, 2, 4, 8, 5101, 10202, 20404, 40808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40808 is composite. Its prime factorisation is
- 3
The divisors add up to 76530; without 40808 itself that is 35722, so 40808 is deficient (35722 is less than 40808). Euler's totient φ(40808) = 20400 numbers up to 40808 share no factor with it.
- 4
The digits of 40808 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40808 = 2^{3} \times 5101 \]40808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76530 |
| Euler totient φ(n) | 20400 |
| Square | 1665292864 |
| Cube | 67957271194112 |
| Square root | 202.009901 (= 2√10202) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0808 × |
40808 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and eight |
| Binary (base 2) | 1001111101101000 |
| Octal (base 8) | 117550 |
| Hexadecimal (base 16) | 9F68 |
| Base 3 | 2001222102 |
| As time | 40808 seconds = 11 h 20 min 8 s |
Is 40808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40808 ÷ 2 = 20404) | 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 (40808 ÷ 4 = 10202) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 (40808 ÷ 8 = 5101) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 40808 a prime number?
No. 40808 = × 5101, so it is divisible by 2.
What are the factors of 40808?
1, 2, 4, 8, 5101, 10202, 20404, 40808.
What is 40808 in binary?
1001111101101000 (hexadecimal 9F68, octal 117550).
What is the square root of 40808?
About 202.0099, exactly 2√10202.
Is 40808 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40808?
It is a composite number with 8 divisors.