The number 13835
13835 is a composite number with 4 divisors. Its prime factorisation is 5 × 2767. Divisors (4): 1, 5, 2767, 13835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13835: a semiprime: 5 × 2767, the product of two primes.
- 2
13835 is composite. Its prime factorisation is
- 3
The divisors add up to 16608; without 13835 itself that is 2773, so 13835 is deficient (2773 is less than 13835). Euler's totient φ(13835) = 11064 numbers up to 13835 share no factor with it.
- 4
The digits of 13835 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13835 = 5 \times 2767 \]
13835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16608 |
| Euler totient φ(n) | 11064 |
| Square | 191407225 |
| Cube | 2648118957875 |
| Square root | 117.622277 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3835 × |
13835 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and thirty-five |
| Binary (base 2) | 11011000001011 |
| Octal (base 8) | 33013 |
| Hexadecimal (base 16) | 360B |
| Base 3 | 200222102 |
| As time | 13835 seconds = 3 h 50 min 35 s |
Is 13835 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13835 ÷ 5 = 2767) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13835 a prime number?
No. 13835 = 5 × 2767, so it is divisible by 5.
What are the factors of 13835?
1, 5, 2767, 13835.
What is 13835 in binary?
11011000001011 (hexadecimal 360B, octal 33013).
What is the square root of 13835?
About 117.6223.
Is 13835 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13835?
13835 is a semiprime: 5 × 2767, the product of two primes.