The number 13134
13134 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 199. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 199, 398, 597, 1194, 2189, 4378, 6567, 13134.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13134 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13134 is composite. Its prime factorisation is
- 3
The divisors add up to 28800; without 13134 itself that is 15666, so 13134 is abundant (15666 is more than 13134). Euler's totient φ(13134) = 3960 numbers up to 13134 share no factor with it.
- 4
The digits of 13134 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13134 = 2 \times 3 \times 11 \times 199 \]
13134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28800 |
| Euler totient φ(n) | 3960 |
| Square | 172501956 |
| Cube | 2265640690104 |
| Square root | 114.603665 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3134 × |
13134 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirty-four |
| Binary (base 2) | 11001101001110 |
| Octal (base 8) | 31516 |
| Hexadecimal (base 16) | 334E |
| Base 3 | 200000110 |
| As time | 13134 seconds = 3 h 38 min 54 s |
Is 13134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13134 ÷ 2 = 6567) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13134 ÷ 3 = 4378) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13134 ÷ 6 = 2189) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13134 ÷ 11 = 1194) | 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 13134 a prime number?
No. 13134 = 2 × 3 × 11 × 199, so it is divisible by 2.
What are the factors of 13134?
1, 2, 3, 6, 11, 22, 33, 66, 199, 398, 597, 1194, 2189, 4378, 6567, 13134.
What is 13134 in binary?
11001101001110 (hexadecimal 334E, octal 31516).
What is the square root of 13134?
About 114.6037.
Is 13134 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13134?
It is a composite number with 16 divisors.