The number 40086
40086 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 131. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 131, 153, 262, 306, 393, 786 … 40086.
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How to work it out
- 1
What is special about 40086: a Harshad number: divisible by its digit sum 18.
- 2
40086 is composite. Its prime factorisation is
- 3
The divisors add up to 92664; without 40086 itself that is 52578, so 40086 is abundant (52578 is more than 40086). Euler's totient φ(40086) = 12480 numbers up to 40086 share no factor with it.
- 4
The digits of 40086 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40086 = 2 \times 3^{2} \times 17 \times 131 \]40086 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92664 |
| Euler totient φ(n) | 12480 |
| Square | 1606887396 |
| Cube | 64413688156056 |
| Square root | 200.214885 (= 3√4454) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0086 × |
40086 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and eighty-six |
| Binary (base 2) | 1001110010010110 |
| Octal (base 8) | 116226 |
| Hexadecimal (base 16) | 9C96 |
| Base 3 | 2000222200 |
| As time | 40086 seconds = 11 h 8 min 6 s |
Is 40086 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40086 ÷ 2 = 20043) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40086 ÷ 3 = 13362) | 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 (40086 ÷ 6 = 6681) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40086 ÷ 9 = 4454) | 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 2) | 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 40086 a prime number?
No. 40086 = 2 × × 17 × 131, so it is divisible by 2.
What are the factors of 40086?
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 131, 153, 262, 306, 393, 786, 1179, 2227, 2358, 4454, 6681, 13362, 20043, 40086.
What is 40086 in binary?
1001110010010110 (hexadecimal 9C96, octal 116226).
What is the square root of 40086?
About 200.2149, exactly 3√4454.
Is 40086 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40086?
40086 is a Harshad number: divisible by its digit sum 18.