The number 13559
13559 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 149. Divisors (8): 1, 7, 13, 91, 149, 1043, 1937, 13559.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13559 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13559 is composite. Its prime factorisation is
- 3
The divisors add up to 16800; without 13559 itself that is 3241, so 13559 is deficient (3241 is less than 13559). Euler's totient φ(13559) = 10656 numbers up to 13559 share no factor with it.
- 4
The digits of 13559 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13559 = 7 \times 13 \times 149 \]
13559 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16800 |
| Euler totient φ(n) | 10656 |
| Square | 183846481 |
| Cube | 2492774435879 |
| Square root | 116.443119 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3559 × |
13559 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and fifty-nine |
| Binary (base 2) | 11010011110111 |
| Octal (base 8) | 32367 |
| Hexadecimal (base 16) | 34F7 |
| Base 3 | 200121012 |
| As time | 13559 seconds = 3 h 45 min 59 s |
Is 13559 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 3) | 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 | Yes (13559 ÷ 7 = 1937) | 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 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13559 a prime number?
No. 13559 = 7 × 13 × 149, so it is divisible by 7.
What are the factors of 13559?
1, 7, 13, 91, 149, 1043, 1937, 13559.
What is 13559 in binary?
11010011110111 (hexadecimal 34F7, octal 32367).
What is the square root of 13559?
About 116.4431.
Is 13559 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13559?
It is a composite number with 8 divisors.