The number 31086
31086 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 157. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 157, 198, 314, 471, 942 … 31086.
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How to work it out
- 1
What is special about 31086: a Harshad number: divisible by its digit sum 18.
- 2
31086 is composite. Its prime factorisation is
- 3
The divisors add up to 73944; without 31086 itself that is 42858, so 31086 is abundant (42858 is more than 31086). Euler's totient φ(31086) = 9360 numbers up to 31086 share no factor with it.
- 4
The digits of 31086 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31086 = 2 \times 3^{2} \times 11 \times 157 \]31086 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 73944 |
| Euler totient φ(n) | 9360 |
| Square | 966339396 |
| Cube | 30039626464056 |
| Square root | 176.312223 (= 3√3454) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.1086 × |
31086 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and eighty-six |
| Binary (base 2) | 111100101101110 |
| Octal (base 8) | 74556 |
| Hexadecimal (base 16) | 796E |
| Base 3 | 1120122100 |
| As time | 31086 seconds = 8 h 38 min 6 s |
Is 31086 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31086 ÷ 2 = 15543) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31086 ÷ 3 = 10362) | 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 (31086 ÷ 6 = 5181) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (31086 ÷ 9 = 3454) | 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 (31086 ÷ 11 = 2826) | 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 31086 a prime number?
No. 31086 = 2 × × 11 × 157, so it is divisible by 2.
What are the factors of 31086?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 157, 198, 314, 471, 942, 1413, 1727, 2826, 3454, 5181, 10362, 15543, 31086.
What is 31086 in binary?
111100101101110 (hexadecimal 796E, octal 74556).
What is the square root of 31086?
About 176.3122, exactly 3√3454.
Is 31086 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31086?
31086 is a Harshad number: divisible by its digit sum 18.