The number 13115
13115 is a composite number with 8 divisors. Its prime factorisation is 5 × 43 × 61. Divisors (8): 1, 5, 43, 61, 215, 305, 2623, 13115.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13115 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13115 is composite. Its prime factorisation is
- 3
The divisors add up to 16368; without 13115 itself that is 3253, so 13115 is deficient (3253 is less than 13115). Euler's totient φ(13115) = 10080 numbers up to 13115 share no factor with it.
- 4
The digits of 13115 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13115 = 5 \times 43 \times 61 \]
13115 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16368 |
| Euler totient φ(n) | 10080 |
| Square | 172003225 |
| Cube | 2255822295875 |
| Square root | 114.520740 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3115 × |
13115 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and fifteen |
| Binary (base 2) | 11001100111011 |
| Octal (base 8) | 31473 |
| Hexadecimal (base 16) | 333B |
| Base 3 | 122222202 |
| As time | 13115 seconds = 3 h 38 min 35 s |
Is 13115 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13115 ÷ 5 = 2623) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13115 a prime number?
No. 13115 = 5 × 43 × 61, so it is divisible by 5.
What are the factors of 13115?
1, 5, 43, 61, 215, 305, 2623, 13115.
What is 13115 in binary?
11001100111011 (hexadecimal 333B, octal 31473).
What is the square root of 13115?
About 114.5207.
Is 13115 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13115?
It is a composite number with 8 divisors.