The number 40836
40836 is a composite number with 24 divisors. Its prime factorisation is × 3 × 41 × 83. Divisors (24): 1, 2, 3, 4, 6, 12, 41, 82, 83, 123, 164, 166, 246, 249, 332, 492 … 40836.
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How to work it out
- 1
40836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40836 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 40836 itself that is 57948, so 40836 is abundant (57948 is more than 40836). Euler's totient φ(40836) = 13120 numbers up to 40836 share no factor with it.
- 4
The digits of 40836 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40836 = 2^{2} \times 3 \times 41 \times 83 \]40836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 13120 |
| Square | 1667578896 |
| Cube | 68097251797056 |
| Square root | 202.079192 (= 2√10209) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0836 × |
40836 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and thirty-six |
| Binary (base 2) | 1001111110000100 |
| Octal (base 8) | 117604 |
| Hexadecimal (base 16) | 9F84 |
| Base 3 | 2002000110 |
| As time | 40836 seconds = 11 h 20 min 36 s |
Is 40836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40836 ÷ 2 = 20418) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40836 ÷ 3 = 13612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40836 ÷ 4 = 10209) | 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 | Yes (40836 ÷ 6 = 6806) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (40836 ÷ 12 = 3403) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40836 a prime number?
No. 40836 = × 3 × 41 × 83, so it is divisible by 2.
What are the factors of 40836?
1, 2, 3, 4, 6, 12, 41, 82, 83, 123, 164, 166, 246, 249, 332, 492, 498, 996, 3403, 6806, 10209, 13612, 20418, 40836.
What is 40836 in binary?
1001111110000100 (hexadecimal 9F84, octal 117604).
What is the square root of 40836?
About 202.0792, exactly 2√10209.
Is 40836 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40836?
It is a composite number with 24 divisors.