The number 40166
40166 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 151. Divisors (16): 1, 2, 7, 14, 19, 38, 133, 151, 266, 302, 1057, 2114, 2869, 5738, 20083, 40166.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40166 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40166 is composite. Its prime factorisation is
- 3
The divisors add up to 72960; without 40166 itself that is 32794, so 40166 is deficient (32794 is less than 40166). Euler's totient φ(40166) = 16200 numbers up to 40166 share no factor with it.
- 4
The digits of 40166 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40166 = 2 \times 7 \times 19 \times 151 \]
40166 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72960 |
| Euler totient φ(n) | 16200 |
| Square | 1613307556 |
| Cube | 64800111294296 |
| Square root | 200.414570 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0166 × |
40166 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixty-six |
| Binary (base 2) | 1001110011100110 |
| Octal (base 8) | 116346 |
| Hexadecimal (base 16) | 9CE6 |
| Base 3 | 2001002122 |
| As time | 40166 seconds = 11 h 9 min 26 s |
Is 40166 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40166 ÷ 2 = 20083) | 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 | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40166 ÷ 7 = 5738) | 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 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40166 a prime number?
No. 40166 = 2 × 7 × 19 × 151, so it is divisible by 2.
What are the factors of 40166?
1, 2, 7, 14, 19, 38, 133, 151, 266, 302, 1057, 2114, 2869, 5738, 20083, 40166.
What is 40166 in binary?
1001110011100110 (hexadecimal 9CE6, octal 116346).
What is the square root of 40166?
About 200.4146.
Is 40166 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40166?
It is a composite number with 16 divisors.