The number 40986
40986 is a composite number with 40 divisors. Its prime factorisation is 2 × × 11 × 23. Divisors (40): 1, 2, 3, 6, 9, 11, 18, 22, 23, 27, 33, 46, 54, 66, 69, 81 … 40986.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40986: a Harshad number: divisible by its digit sum 27.
- 2
40986 is composite. Its prime factorisation is
- 3
The divisors add up to 104544; without 40986 itself that is 63558, so 40986 is abundant (63558 is more than 40986). Euler's totient φ(40986) = 11880 numbers up to 40986 share no factor with it.
- 4
The digits of 40986 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40986 = 2 \times 3^{4} \times 11 \times 23 \]40986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 104544 |
| Euler totient φ(n) | 11880 |
| Square | 1679852196 |
| Cube | 68850422105256 |
| Square root | 202.449994 (= 9√506) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.0986 × |
40986 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and eighty-six |
| Binary (base 2) | 1010000000011010 |
| Octal (base 8) | 120032 |
| Hexadecimal (base 16) | A01A |
| Base 3 | 2002020000 |
| As time | 40986 seconds = 11 h 23 min 6 s |
Is 40986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40986 ÷ 2 = 20493) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40986 ÷ 3 = 13662) | 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 | Yes (40986 ÷ 6 = 6831) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40986 ÷ 9 = 4554) | 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 (40986 ÷ 11 = 3726) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40986 a prime number?
No. 40986 = 2 × × 11 × 23, so it is divisible by 2.
What are the factors of 40986?
1, 2, 3, 6, 9, 11, 18, 22, 23, 27, 33, 46, 54, 66, 69, 81, 99, 138, 162, 198, 207, 253, 297, 414, 506, 594, 621, 759, 891, 1242, 1518, 1782, 1863, 2277, 3726, 4554, 6831, 13662, 20493, 40986.
What is 40986 in binary?
1010000000011010 (hexadecimal A01A, octal 120032).
What is the square root of 40986?
About 202.4500, exactly 9√506.
Is 40986 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 40986?
40986 is a Harshad number: divisible by its digit sum 27.