The number 13289
13289 is a composite number with 4 divisors. Its prime factorisation is 97 × 137. Divisors (4): 1, 97, 137, 13289.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13289: a semiprime: 97 × 137, the product of two primes.
- 2
13289 is composite. Its prime factorisation is
- 3
The divisors add up to 13524; without 13289 itself that is 235, so 13289 is deficient (235 is less than 13289). Euler's totient φ(13289) = 13056 numbers up to 13289 share no factor with it.
- 4
The digits of 13289 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13289 = 97 \times 137 \]
13289 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13524 |
| Euler totient φ(n) | 13056 |
| Square | 176597521 |
| Cube | 2346804456569 |
| Square root | 115.277925 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3289 × |
13289 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and eighty-nine |
| Binary (base 2) | 11001111101001 |
| Octal (base 8) | 31751 |
| Hexadecimal (base 16) | 33E9 |
| Base 3 | 200020012 |
| As time | 13289 seconds = 3 h 41 min 29 s |
Is 13289 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 3) | 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 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 1) | 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 13289 a prime number?
No. 13289 = 97 × 137, so it is divisible by 97.
What are the factors of 13289?
1, 97, 137, 13289.
What is 13289 in binary?
11001111101001 (hexadecimal 33E9, octal 31751).
What is the square root of 13289?
About 115.2779.
Is 13289 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13289?
13289 is a semiprime: 97 × 137, the product of two primes.