The number 13062
13062 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 311. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 311, 622, 933, 1866, 2177, 4354, 6531, 13062.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13062 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13062 is composite. Its prime factorisation is
- 3
The divisors add up to 29952; without 13062 itself that is 16890, so 13062 is abundant (16890 is more than 13062). Euler's totient φ(13062) = 3720 numbers up to 13062 share no factor with it.
- 4
The digits of 13062 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13062 = 2 \times 3 \times 7 \times 311 \]
13062 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29952 |
| Euler totient φ(n) | 3720 |
| Square | 170615844 |
| Cube | 2228584154328 |
| Square root | 114.289107 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3062 × |
13062 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and sixty-two |
| Binary (base 2) | 11001100000110 |
| Octal (base 8) | 31406 |
| Hexadecimal (base 16) | 3306 |
| Base 3 | 122220210 |
| As time | 13062 seconds = 3 h 37 min 42 s |
Is 13062 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13062 ÷ 2 = 6531) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13062 ÷ 3 = 4354) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13062 ÷ 6 = 2177) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13062 ÷ 7 = 1866) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 13062 a prime number?
No. 13062 = 2 × 3 × 7 × 311, so it is divisible by 2.
What are the factors of 13062?
1, 2, 3, 6, 7, 14, 21, 42, 311, 622, 933, 1866, 2177, 4354, 6531, 13062.
What is 13062 in binary?
11001100000110 (hexadecimal 3306, octal 31406).
What is the square root of 13062?
About 114.2891.
Is 13062 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13062?
It is a composite number with 16 divisors.