The number 40066
40066 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 23 × 67. Divisors (16): 1, 2, 13, 23, 26, 46, 67, 134, 299, 598, 871, 1541, 1742, 3082, 20033, 40066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40066 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40066 is composite. Its prime factorisation is
- 3
The divisors add up to 68544; without 40066 itself that is 28478, so 40066 is deficient (28478 is less than 40066). Euler's totient φ(40066) = 17424 numbers up to 40066 share no factor with it.
- 4
The digits of 40066 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40066 = 2 \times 13 \times 23 \times 67 \]
40066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 68544 |
| Euler totient φ(n) | 17424 |
| Square | 1605284356 |
| Cube | 64317323007496 |
| Square root | 200.164932 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0066 × |
40066 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and sixty-six |
| Binary (base 2) | 1001110010000010 |
| Octal (base 8) | 116202 |
| Hexadecimal (base 16) | 9C82 |
| Base 3 | 2000221221 |
| As time | 40066 seconds = 11 h 7 min 46 s |
Is 40066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40066 ÷ 2 = 20033) | 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 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 | No (remainder 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 40066 a prime number?
No. 40066 = 2 × 13 × 23 × 67, so it is divisible by 2.
What are the factors of 40066?
1, 2, 13, 23, 26, 46, 67, 134, 299, 598, 871, 1541, 1742, 3082, 20033, 40066.
What is 40066 in binary?
1001110010000010 (hexadecimal 9C82, octal 116202).
What is the square root of 40066?
About 200.1649.
Is 40066 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40066?
It is a composite number with 16 divisors.