The number 40216
40216 is a composite number with 16 divisors. Its prime factorisation is × 11 × 457. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 457, 914, 1828, 3656, 5027, 10054, 20108, 40216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40216 is composite. Its prime factorisation is
- 3
The divisors add up to 82440; without 40216 itself that is 42224, so 40216 is abundant (42224 is more than 40216). Euler's totient φ(40216) = 18240 numbers up to 40216 share no factor with it.
- 4
The digits of 40216 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40216 = 2^{3} \times 11 \times 457 \]40216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82440 |
| Euler totient φ(n) | 18240 |
| Square | 1617326656 |
| Cube | 65042408797696 |
| Square root | 200.539273 (= 2√10054) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0216 × |
40216 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and sixteen |
| Binary (base 2) | 1001110100011000 |
| Octal (base 8) | 116430 |
| Hexadecimal (base 16) | 9D18 |
| Base 3 | 2001011111 |
| As time | 40216 seconds = 11 h 10 min 16 s |
Is 40216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40216 ÷ 2 = 20108) | 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 (40216 ÷ 4 = 10054) | 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 | Yes (40216 ÷ 8 = 5027) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (40216 ÷ 11 = 3656) | 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 40216 a prime number?
No. 40216 = × 11 × 457, so it is divisible by 2.
What are the factors of 40216?
1, 2, 4, 8, 11, 22, 44, 88, 457, 914, 1828, 3656, 5027, 10054, 20108, 40216.
What is 40216 in binary?
1001110100011000 (hexadecimal 9D18, octal 116430).
What is the square root of 40216?
About 200.5393, exactly 2√10054.
Is 40216 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40216?
It is a composite number with 16 divisors.