The number 13589
13589 is a composite number with 4 divisors. Its prime factorisation is 107 × 127. Divisors (4): 1, 107, 127, 13589.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13589: a semiprime: 107 × 127, the product of two primes.
- 2
13589 is composite. Its prime factorisation is
- 3
The divisors add up to 13824; without 13589 itself that is 235, so 13589 is deficient (235 is less than 13589). Euler's totient φ(13589) = 13356 numbers up to 13589 share no factor with it.
- 4
The digits of 13589 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13589 = 107 \times 127 \]
13589 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13824 |
| Euler totient φ(n) | 13356 |
| Square | 184660921 |
| Cube | 2509357255469 |
| Square root | 116.571866 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3589 × |
13589 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and eighty-nine |
| Binary (base 2) | 11010100010101 |
| Octal (base 8) | 32425 |
| Hexadecimal (base 16) | 3515 |
| Base 3 | 200122022 |
| As time | 13589 seconds = 3 h 46 min 29 s |
Is 13589 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 2) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13589 a prime number?
No. 13589 = 107 × 127, so it is divisible by 107.
What are the factors of 13589?
1, 107, 127, 13589.
What is 13589 in binary?
11010100010101 (hexadecimal 3515, octal 32425).
What is the square root of 13589?
About 116.5719.
Is 13589 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13589?
13589 is a semiprime: 107 × 127, the product of two primes.