The number 13015
13015 is a composite number with 8 divisors. Its prime factorisation is 5 × 19 × 137. Divisors (8): 1, 5, 19, 95, 137, 685, 2603, 13015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13015 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13015 is composite. Its prime factorisation is
- 3
The divisors add up to 16560; without 13015 itself that is 3545, so 13015 is deficient (3545 is less than 13015). Euler's totient φ(13015) = 9792 numbers up to 13015 share no factor with it.
- 4
The digits of 13015 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13015 = 5 \times 19 \times 137 \]
13015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16560 |
| Euler totient φ(n) | 9792 |
| Square | 169390225 |
| Cube | 2204613778375 |
| Square root | 114.083303 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3015 × |
13015 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and fifteen |
| Binary (base 2) | 11001011010111 |
| Octal (base 8) | 31327 |
| Hexadecimal (base 16) | 32D7 |
| Base 3 | 122212001 |
| As time | 13015 seconds = 3 h 36 min 55 s |
Is 13015 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 (13015 ÷ 5 = 2603) | 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 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 7) | 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 | No (remainder 2) | 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 13015 a prime number?
No. 13015 = 5 × 19 × 137, so it is divisible by 5.
What are the factors of 13015?
1, 5, 19, 95, 137, 685, 2603, 13015.
What is 13015 in binary?
11001011010111 (hexadecimal 32D7, octal 31327).
What is the square root of 13015?
About 114.0833.
Is 13015 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13015?
It is a composite number with 8 divisors.