The number 13006
13006 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 929. Divisors (8): 1, 2, 7, 14, 929, 1858, 6503, 13006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13006 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 13006 itself that is 9314, so 13006 is deficient (9314 is less than 13006). Euler's totient φ(13006) = 5568 numbers up to 13006 share no factor with it.
- 4
The digits of 13006 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13006 = 2 \times 7 \times 929 \]
13006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 5568 |
| Square | 169156036 |
| Cube | 2200043404216 |
| Square root | 114.043851 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3006 × |
13006 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and six |
| Binary (base 2) | 11001011001110 |
| Octal (base 8) | 31316 |
| Hexadecimal (base 16) | 32CE |
| Base 3 | 122211201 |
| As time | 13006 seconds = 3 h 36 min 46 s |
Is 13006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13006 ÷ 2 = 6503) | 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 (13006 ÷ 7 = 1858) | 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 1) | 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 4) | 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 13006 a prime number?
No. 13006 = 2 × 7 × 929, so it is divisible by 2.
What are the factors of 13006?
1, 2, 7, 14, 929, 1858, 6503, 13006.
What is 13006 in binary?
11001011001110 (hexadecimal 32CE, octal 31316).
What is the square root of 13006?
About 114.0439.
Is 13006 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13006?
It is a composite number with 8 divisors.