The number 13587
13587 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 647. Divisors (8): 1, 3, 7, 21, 647, 1941, 4529, 13587.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13587 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13587 is composite. Its prime factorisation is
- 3
The divisors add up to 20736; without 13587 itself that is 7149, so 13587 is deficient (7149 is less than 13587). Euler's totient φ(13587) = 7752 numbers up to 13587 share no factor with it.
- 4
The digits of 13587 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13587 = 3 \times 7 \times 647 \]
13587 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20736 |
| Euler totient φ(n) | 7752 |
| Square | 184606569 |
| Cube | 2508249453003 |
| Square root | 116.563288 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3587 × |
13587 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and eighty-seven |
| Binary (base 2) | 11010100010011 |
| Octal (base 8) | 32423 |
| Hexadecimal (base 16) | 3513 |
| Base 3 | 200122020 |
| As time | 13587 seconds = 3 h 46 min 27 s |
Is 13587 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 (13587 ÷ 3 = 4529) | 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 | No (remainder 2) | 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 (13587 ÷ 7 = 1941) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13587 a prime number?
No. 13587 = 3 × 7 × 647, so it is divisible by 3.
What are the factors of 13587?
1, 3, 7, 21, 647, 1941, 4529, 13587.
What is 13587 in binary?
11010100010011 (hexadecimal 3513, octal 32423).
What is the square root of 13587?
About 116.5633.
Is 13587 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13587?
It is a composite number with 8 divisors.