The number 13609
13609 is a composite number with 4 divisors. Its prime factorisation is 31 × 439. Divisors (4): 1, 31, 439, 13609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13609: a semiprime: 31 × 439, the product of two primes.
- 2
13609 is composite. Its prime factorisation is
- 3
The divisors add up to 14080; without 13609 itself that is 471, so 13609 is deficient (471 is less than 13609). Euler's totient φ(13609) = 13140 numbers up to 13609 share no factor with it.
- 4
The digits of 13609 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13609 = 31 \times 439 \]
13609 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14080 |
| Euler totient φ(n) | 13140 |
| Square | 185204881 |
| Cube | 2520453225529 |
| Square root | 116.657619 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3609 × |
13609 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and nine |
| Binary (base 2) | 11010100101001 |
| Octal (base 8) | 32451 |
| Hexadecimal (base 16) | 3529 |
| Base 3 | 200200001 |
| As time | 13609 seconds = 3 h 46 min 49 s |
Is 13609 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13609 a prime number?
No. 13609 = 31 × 439, so it is divisible by 31.
What are the factors of 13609?
1, 31, 439, 13609.
What is 13609 in binary?
11010100101001 (hexadecimal 3529, octal 32451).
What is the square root of 13609?
About 116.6576.
Is 13609 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13609?
13609 is a semiprime: 31 × 439, the product of two primes.