The number 13617
13617 is a composite number with 12 divisors. Its prime factorisation is × 17 × 89. Divisors (12): 1, 3, 9, 17, 51, 89, 153, 267, 801, 1513, 4539, 13617.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13617 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13617 is composite. Its prime factorisation is
- 3
The divisors add up to 21060; without 13617 itself that is 7443, so 13617 is deficient (7443 is less than 13617). Euler's totient φ(13617) = 8448 numbers up to 13617 share no factor with it.
- 4
The digits of 13617 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13617 = 3^{2} \times 17 \times 89 \]13617 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21060 |
| Euler totient φ(n) | 8448 |
| Square | 185422689 |
| Cube | 2524900756113 |
| Square root | 116.691902 (= 3√1513) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3617 × |
13617 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventeen |
| Binary (base 2) | 11010100110001 |
| Octal (base 8) | 32461 |
| Hexadecimal (base 16) | 3531 |
| Base 3 | 200200100 |
| As time | 13617 seconds = 3 h 46 min 57 s |
Is 13617 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 (13617 ÷ 3 = 4539) | 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 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13617 ÷ 9 = 1513) | 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 10) | 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 13617 a prime number?
No. 13617 = × 17 × 89, so it is divisible by 3.
What are the factors of 13617?
1, 3, 9, 17, 51, 89, 153, 267, 801, 1513, 4539, 13617.
What is 13617 in binary?
11010100110001 (hexadecimal 3531, octal 32461).
What is the square root of 13617?
About 116.6919, exactly 3√1513.
Is 13617 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13617?
It is a composite number with 12 divisors.