The number 13046
13046 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 593. Divisors (8): 1, 2, 11, 22, 593, 1186, 6523, 13046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13046 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13046 is composite. Its prime factorisation is
- 3
The divisors add up to 21384; without 13046 itself that is 8338, so 13046 is deficient (8338 is less than 13046). Euler's totient φ(13046) = 5920 numbers up to 13046 share no factor with it.
- 4
The digits of 13046 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 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13046 = 2 \times 11 \times 593 \]
13046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21384 |
| Euler totient φ(n) | 5920 |
| Square | 170198116 |
| Cube | 2220404621336 |
| Square root | 114.219088 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 200 |
| Scientific notation | 1.3046 × |
13046 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and forty-six |
| Binary (base 2) | 11001011110110 |
| Octal (base 8) | 31366 |
| Hexadecimal (base 16) | 32F6 |
| Base 3 | 122220012 |
| As time | 13046 seconds = 3 h 37 min 26 s |
Is 13046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13046 ÷ 2 = 6523) | 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 5) | 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 | Yes (13046 ÷ 11 = 1186) | 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 13046 a prime number?
No. 13046 = 2 × 11 × 593, so it is divisible by 2.
What are the factors of 13046?
1, 2, 11, 22, 593, 1186, 6523, 13046.
What is 13046 in binary?
11001011110110 (hexadecimal 32F6, octal 31366).
What is the square root of 13046?
About 114.2191.
Is 13046 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13046?
It is a composite number with 8 divisors.