The number 10066
10066 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 719. Divisors (8): 1, 2, 7, 14, 719, 1438, 5033, 10066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10066 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10066 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 10066 itself that is 7214, so 10066 is deficient (7214 is less than 10066). Euler's totient φ(10066) = 4308 numbers up to 10066 share no factor with it.
- 4
The digits of 10066 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10066 = 2 \times 7 \times 719 \]
10066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 4308 |
| Square | 101324356 |
| Cube | 1019930967496 |
| Square root | 100.329457 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0066 × |
10066 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and sixty-six |
| Binary (base 2) | 10011101010010 |
| Octal (base 8) | 23522 |
| Hexadecimal (base 16) | 2752 |
| Base 3 | 111210211 |
| As time | 10066 seconds = 2 h 47 min 46 s |
Is 10066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10066 ÷ 2 = 5033) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10066 ÷ 7 = 1438) | 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 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10066 a prime number?
No. 10066 = 2 × 7 × 719, so it is divisible by 2.
What are the factors of 10066?
1, 2, 7, 14, 719, 1438, 5033, 10066.
What is 10066 in binary?
10011101010010 (hexadecimal 2752, octal 23522).
What is the square root of 10066?
About 100.3295.
Is 10066 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10066?
It is a composite number with 8 divisors.