The number 13385
13385 is a composite number with 4 divisors. Its prime factorisation is 5 × 2677. Divisors (4): 1, 5, 2677, 13385.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13385: a semiprime: 5 × 2677, the product of two primes.
- 2
13385 is composite. Its prime factorisation is
- 3
The divisors add up to 16068; without 13385 itself that is 2683, so 13385 is deficient (2683 is less than 13385). Euler's totient φ(13385) = 10704 numbers up to 13385 share no factor with it.
- 4
The digits of 13385 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13385 = 5 \times 2677 \]
13385 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16068 |
| Euler totient φ(n) | 10704 |
| Square | 179158225 |
| Cube | 2398032841625 |
| Square root | 115.693561 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3385 × |
13385 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eighty-five |
| Binary (base 2) | 11010001001001 |
| Octal (base 8) | 32111 |
| Hexadecimal (base 16) | 3449 |
| Base 3 | 200100202 |
| As time | 13385 seconds = 3 h 43 min 5 s |
Is 13385 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 | Yes (13385 ÷ 5 = 2677) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 13385 a prime number?
No. 13385 = 5 × 2677, so it is divisible by 5.
What are the factors of 13385?
1, 5, 2677, 13385.
What is 13385 in binary?
11010001001001 (hexadecimal 3449, octal 32111).
What is the square root of 13385?
About 115.6936.
Is 13385 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13385?
13385 is a semiprime: 5 × 2677, the product of two primes.