The number 40408
40408 is a composite number with 8 divisors. Its prime factorisation is × 5051. Divisors (8): 1, 2, 4, 8, 5051, 10102, 20204, 40408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40408 is composite. Its prime factorisation is
- 3
The divisors add up to 75780; without 40408 itself that is 35372, so 40408 is deficient (35372 is less than 40408). Euler's totient φ(40408) = 20200 numbers up to 40408 share no factor with it.
- 4
The digits of 40408 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40408 = 2^{3} \times 5051 \]40408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75780 |
| Euler totient φ(n) | 20200 |
| Square | 1632806464 |
| Cube | 65978443597312 |
| Square root | 201.017412 (= 2√10102) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0408 × |
40408 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and eight |
| Binary (base 2) | 1001110111011000 |
| Octal (base 8) | 116730 |
| Hexadecimal (base 16) | 9DD8 |
| Base 3 | 2001102121 |
| As time | 40408 seconds = 11 h 13 min 28 s |
Is 40408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40408 ÷ 2 = 20204) | 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 (40408 ÷ 4 = 10102) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (40408 ÷ 8 = 5051) | 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 8) | 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 40408 a prime number?
No. 40408 = × 5051, so it is divisible by 2.
What are the factors of 40408?
1, 2, 4, 8, 5051, 10102, 20204, 40408.
What is 40408 in binary?
1001110111011000 (hexadecimal 9DD8, octal 116730).
What is the square root of 40408?
About 201.0174, exactly 2√10102.
Is 40408 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40408?
It is a composite number with 8 divisors.