The number 13389
13389 is a composite number with 4 divisors. Its prime factorisation is 3 × 4463. Divisors (4): 1, 3, 4463, 13389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13389: a semiprime: 3 × 4463, the product of two primes.
- 2
13389 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 13389 itself that is 4467, so 13389 is deficient (4467 is less than 13389). Euler's totient φ(13389) = 8924 numbers up to 13389 share no factor with it.
- 4
The digits of 13389 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13389 = 3 \times 4463 \]
13389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 8924 |
| Square | 179265321 |
| Cube | 2400183382869 |
| Square root | 115.710847 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3389 × |
13389 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eighty-nine |
| Binary (base 2) | 11010001001101 |
| Octal (base 8) | 32115 |
| Hexadecimal (base 16) | 344D |
| Base 3 | 200100220 |
| As time | 13389 seconds = 3 h 43 min 9 s |
Is 13389 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 (13389 ÷ 3 = 4463) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13389 a prime number?
No. 13389 = 3 × 4463, so it is divisible by 3.
What are the factors of 13389?
1, 3, 4463, 13389.
What is 13389 in binary?
11010001001101 (hexadecimal 344D, octal 32115).
What is the square root of 13389?
About 115.7108.
Is 13389 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13389?
13389 is a semiprime: 3 × 4463, the product of two primes.