The number 10166
10166 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 23. Divisors (16): 1, 2, 13, 17, 23, 26, 34, 46, 221, 299, 391, 442, 598, 782, 5083, 10166.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10166 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10166 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 10166 itself that is 7978, so 10166 is deficient (7978 is less than 10166). Euler's totient φ(10166) = 4224 numbers up to 10166 share no factor with it.
- 4
The digits of 10166 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10166 = 2 \times 13 \times 17 \times 23 \]
10166 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 4224 |
| Square | 103347556 |
| Cube | 1050631254296 |
| Square root | 100.826584 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0166 × |
10166 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and sixty-six |
| Binary (base 2) | 10011110110110 |
| Octal (base 8) | 23666 |
| Hexadecimal (base 16) | 27B6 |
| Base 3 | 111221112 |
| As time | 10166 seconds = 2 h 49 min 26 s |
Is 10166 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10166 ÷ 2 = 5083) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 5) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10166 a prime number?
No. 10166 = 2 × 13 × 17 × 23, so it is divisible by 2.
What are the factors of 10166?
1, 2, 13, 17, 23, 26, 34, 46, 221, 299, 391, 442, 598, 782, 5083, 10166.
What is 10166 in binary?
10011110110110 (hexadecimal 27B6, octal 23666).
What is the square root of 10166?
About 100.8266.
Is 10166 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10166?
It is a composite number with 16 divisors.