The number 13066
13066 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 139. Divisors (8): 1, 2, 47, 94, 139, 278, 6533, 13066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13066: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13066 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 13066 itself that is 7094, so 13066 is deficient (7094 is less than 13066). Euler's totient φ(13066) = 6348 numbers up to 13066 share no factor with it.
- 4
The digits of 13066 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13066 = 2 \times 47 \times 139 \]
13066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 6348 |
| Square | 170720356 |
| Cube | 2230632171496 |
| Square root | 114.306605 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3066 × |
13066 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and sixty-six |
| Binary (base 2) | 11001100001010 |
| Octal (base 8) | 31412 |
| Hexadecimal (base 16) | 330A |
| Base 3 | 122220221 |
| As time | 13066 seconds = 3 h 37 min 46 s |
Is 13066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13066 ÷ 2 = 6533) | 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 | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 13066 a prime number?
No. 13066 = 2 × 47 × 139, so it is divisible by 2.
What are the factors of 13066?
1, 2, 47, 94, 139, 278, 6533, 13066.
What is 13066 in binary?
11001100001010 (hexadecimal 330A, octal 31412).
What is the square root of 13066?
About 114.3066.
Is 13066 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13066?
13066 is a happy number: repeatedly adding the squares of its digits reaches 1.