The number 40016
40016 is a composite number with 20 divisors. Its prime factorisation is × 41 × 61. Divisors (20): 1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501 … 40016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40016 is composite. Its prime factorisation is
- 3
The divisors add up to 80724; without 40016 itself that is 40708, so 40016 is abundant (40708 is more than 40016). Euler's totient φ(40016) = 19200 numbers up to 40016 share no factor with it.
- 4
The digits of 40016 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40016 = 2^{4} \times 41 \times 61 \]40016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 80724 |
| Euler totient φ(n) | 19200 |
| Square | 1601280256 |
| Cube | 64076830724096 |
| Square root | 200.039996 (= 4√2501) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.0016 × |
40016 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and sixteen |
| Binary (base 2) | 1001110001010000 |
| Octal (base 8) | 116120 |
| Hexadecimal (base 16) | 9C50 |
| Base 3 | 2000220002 |
| As time | 40016 seconds = 11 h 6 min 56 s |
Is 40016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40016 ÷ 2 = 20008) | 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 (40016 ÷ 4 = 10004) | 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 | 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 (40016 ÷ 8 = 5002) | 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 6) | 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 40016 a prime number?
No. 40016 = × 41 × 61, so it is divisible by 2.
What are the factors of 40016?
1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008, 40016.
What is 40016 in binary?
1001110001010000 (hexadecimal 9C50, octal 116120).
What is the square root of 40016?
About 200.0400, exactly 4√2501.
Is 40016 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40016?
It is a composite number with 20 divisors.