The number 15585
15585 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 1039. Divisors (8): 1, 3, 5, 15, 1039, 3117, 5195, 15585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15585 is composite. Its prime factorisation is
- 3
The divisors add up to 24960; without 15585 itself that is 9375, so 15585 is deficient (9375 is less than 15585). Euler's totient φ(15585) = 8304 numbers up to 15585 share no factor with it.
- 4
The digits of 15585 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15585 = 3 \times 5 \times 1039 \]
15585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24960 |
| Euler totient φ(n) | 8304 |
| Square | 242892225 |
| Cube | 3785475326625 |
| Square root | 124.839897 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.5585 × |
15585 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand five hundred and eighty-five |
| Binary (base 2) | 11110011100001 |
| Octal (base 8) | 36341 |
| Hexadecimal (base 16) | 3CE1 |
| Base 3 | 210101020 |
| As time | 15585 seconds = 4 h 19 min 45 s |
Is 15585 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 (15585 ÷ 3 = 5195) | 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 (15585 ÷ 5 = 3117) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | 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 15585 a prime number?
No. 15585 = 3 × 5 × 1039, so it is divisible by 3.
What are the factors of 15585?
1, 3, 5, 15, 1039, 3117, 5195, 15585.
What is 15585 in binary?
11110011100001 (hexadecimal 3CE1, octal 36341).
What is the square root of 15585?
About 124.8399.
Is 15585 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 15585?
It is a composite number with 8 divisors.