The number 13146
13146 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 313. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 313, 626, 939, 1878, 2191, 4382, 6573, 13146.
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How to work it out
- 1
13146 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13146 is composite. Its prime factorisation is
- 3
The divisors add up to 30144; without 13146 itself that is 16998, so 13146 is abundant (16998 is more than 13146). Euler's totient φ(13146) = 3744 numbers up to 13146 share no factor with it.
- 4
The digits of 13146 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13146 = 2 \times 3 \times 7 \times 313 \]
13146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30144 |
| Euler totient φ(n) | 3744 |
| Square | 172817316 |
| Cube | 2271856436136 |
| Square root | 114.656007 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3146 × |
13146 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and forty-six |
| Binary (base 2) | 11001101011010 |
| Octal (base 8) | 31532 |
| Hexadecimal (base 16) | 335A |
| Base 3 | 200000220 |
| As time | 13146 seconds = 3 h 39 min 6 s |
Is 13146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13146 ÷ 2 = 6573) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13146 ÷ 3 = 4382) | 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 | Yes (13146 ÷ 6 = 2191) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13146 ÷ 7 = 1878) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13146 a prime number?
No. 13146 = 2 × 3 × 7 × 313, so it is divisible by 2.
What are the factors of 13146?
1, 2, 3, 6, 7, 14, 21, 42, 313, 626, 939, 1878, 2191, 4382, 6573, 13146.
What is 13146 in binary?
11001101011010 (hexadecimal 335A, octal 31532).
What is the square root of 13146?
About 114.6560.
Is 13146 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13146?
It is a composite number with 16 divisors.