The number 40006
40006 is a composite number with 8 divisors. Its prime factorisation is 2 × 83 × 241. Divisors (8): 1, 2, 83, 166, 241, 482, 20003, 40006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40006 is composite. Its prime factorisation is
- 3
The divisors add up to 60984; without 40006 itself that is 20978, so 40006 is deficient (20978 is less than 40006). Euler's totient φ(40006) = 19680 numbers up to 40006 share no factor with it.
- 4
The digits of 40006 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40006 = 2 \times 83 \times 241 \]
40006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60984 |
| Euler totient φ(n) | 19680 |
| Square | 1600480036 |
| Cube | 64028804320216 |
| Square root | 200.014999 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0006 × |
40006 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and six |
| Binary (base 2) | 1001110001000110 |
| Octal (base 8) | 116106 |
| Hexadecimal (base 16) | 9C46 |
| Base 3 | 2000212201 |
| As time | 40006 seconds = 11 h 6 min 46 s |
Is 40006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40006 ÷ 2 = 20003) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40006 a prime number?
No. 40006 = 2 × 83 × 241, so it is divisible by 2.
What are the factors of 40006?
1, 2, 83, 166, 241, 482, 20003, 40006.
What is 40006 in binary?
1001110001000110 (hexadecimal 9C46, octal 116106).
What is the square root of 40006?
About 200.0150.
Is 40006 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40006?
It is a composite number with 8 divisors.