The number 15015
15015 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 11 × 13. Divisors (32): 1, 3, 5, 7, 11, 13, 15, 21, 33, 35, 39, 55, 65, 77, 91, 105 … 15015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15015 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15015 is composite. Its prime factorisation is
- 3
The divisors add up to 32256; without 15015 itself that is 17241, so 15015 is abundant (17241 is more than 15015). Euler's totient φ(15015) = 5760 numbers up to 15015 share no factor with it.
- 4
The digits of 15015 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15015 = 3 \times 5 \times 7 \times 11 \times 13 \]
15015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 32256 |
| Euler totient φ(n) | 5760 |
| Square | 225450225 |
| Cube | 3385135128375 |
| Square root | 122.535709 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 102 |
| Scientific notation | 1.5015 × |
15015 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and fifteen |
| Binary (base 2) | 11101010100111 |
| Octal (base 8) | 35247 |
| Hexadecimal (base 16) | 3AA7 |
| Base 3 | 202121010 |
| As time | 15015 seconds = 4 h 10 min 15 s |
Is 15015 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 | Yes (15015 ÷ 3 = 5005) | 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 (15015 ÷ 5 = 3003) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (15015 ÷ 7 = 2145) | 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 3) | 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 (15015 ÷ 11 = 1365) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15015 a prime number?
No. 15015 = 3 × 5 × 7 × 11 × 13, so it is divisible by 3.
What are the factors of 15015?
1, 3, 5, 7, 11, 13, 15, 21, 33, 35, 39, 55, 65, 77, 91, 105, 143, 165, 195, 231, 273, 385, 429, 455, 715, 1001, 1155, 1365, 2145, 3003, 5005, 15015.
What is 15015 in binary?
11101010100111 (hexadecimal 3AA7, octal 35247).
What is the square root of 15015?
About 122.5357.
Is 15015 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 15015?
It is a composite number with 32 divisors.