The number 15165
15165 is a composite number with 12 divisors. Its prime factorisation is × 5 × 337. Divisors (12): 1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033, 5055, 15165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15165 is composite. Its prime factorisation is
- 3
The divisors add up to 26364; without 15165 itself that is 11199, so 15165 is deficient (11199 is less than 15165). Euler's totient φ(15165) = 8064 numbers up to 15165 share no factor with it.
- 4
The digits of 15165 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15165 = 3^{2} \times 5 \times 337 \]15165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 26364 |
| Euler totient φ(n) | 8064 |
| Square | 229977225 |
| Cube | 3487604617125 |
| Square root | 123.146255 (= 3√1685) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 177 |
| Scientific notation | 1.5165 × |
15165 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand one hundred and sixty-five |
| Binary (base 2) | 11101100111101 |
| Octal (base 8) | 35475 |
| Hexadecimal (base 16) | 3B3D |
| Base 3 | 202210200 |
| As time | 15165 seconds = 4 h 12 min 45 s |
Is 15165 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 (15165 ÷ 3 = 5055) | 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 (15165 ÷ 5 = 3033) | 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 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15165 ÷ 9 = 1685) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15165 a prime number?
No. 15165 = × 5 × 337, so it is divisible by 3.
What are the factors of 15165?
1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033, 5055, 15165.
What is 15165 in binary?
11101100111101 (hexadecimal 3B3D, octal 35475).
What is the square root of 15165?
About 123.1463, exactly 3√1685.
Is 15165 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15165?
It is a composite number with 12 divisors.