The number 13915
13915 is a composite number with 12 divisors. Its prime factorisation is 5 × × 23. Divisors (12): 1, 5, 11, 23, 55, 115, 121, 253, 605, 1265, 2783, 13915.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13915 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13915 is composite. Its prime factorisation is
- 3
The divisors add up to 19152; without 13915 itself that is 5237, so 13915 is deficient (5237 is less than 13915). Euler's totient φ(13915) = 9680 numbers up to 13915 share no factor with it.
- 4
The digits of 13915 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13915 = 5 \times 11^{2} \times 23 \]13915 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19152 |
| Euler totient φ(n) | 9680 |
| Square | 193627225 |
| Cube | 2694322835875 |
| Square root | 117.961858 (= 11√115) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3915 × |
13915 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and fifteen |
| Binary (base 2) | 11011001011011 |
| Octal (base 8) | 33133 |
| Hexadecimal (base 16) | 365B |
| Base 3 | 201002101 |
| As time | 13915 seconds = 3 h 51 min 55 s |
Is 13915 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 1) | 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 (13915 ÷ 5 = 2783) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 (13915 ÷ 11 = 1265) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13915 a prime number?
No. 13915 = 5 × × 23, so it is divisible by 5.
What are the factors of 13915?
1, 5, 11, 23, 55, 115, 121, 253, 605, 1265, 2783, 13915.
What is 13915 in binary?
11011001011011 (hexadecimal 365B, octal 33133).
What is the square root of 13915?
About 117.9619, exactly 11√115.
Is 13915 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13915?
It is a composite number with 12 divisors.