The number 13145
13145 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 239. Divisors (8): 1, 5, 11, 55, 239, 1195, 2629, 13145.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13145 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13145 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 13145 itself that is 4135, so 13145 is deficient (4135 is less than 13145). Euler's totient φ(13145) = 9520 numbers up to 13145 share no factor with it.
- 4
The digits of 13145 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13145 = 5 \times 11 \times 239 \]
13145 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 9520 |
| Square | 172791025 |
| Cube | 2271338023625 |
| Square root | 114.651646 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3145 × |
13145 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and forty-five |
| Binary (base 2) | 11001101011001 |
| Octal (base 8) | 31531 |
| Hexadecimal (base 16) | 3359 |
| Base 3 | 200000212 |
| As time | 13145 seconds = 3 h 39 min 5 s |
Is 13145 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13145 ÷ 5 = 2629) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13145 ÷ 11 = 1195) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13145 a prime number?
No. 13145 = 5 × 11 × 239, so it is divisible by 5.
What are the factors of 13145?
1, 5, 11, 55, 239, 1195, 2629, 13145.
What is 13145 in binary?
11001101011001 (hexadecimal 3359, octal 31531).
What is the square root of 13145?
About 114.6516.
Is 13145 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13145?
It is a composite number with 8 divisors.