The number 13765
13765 is a composite number with 4 divisors. Its prime factorisation is 5 × 2753. Divisors (4): 1, 5, 2753, 13765.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13765: a semiprime: 5 × 2753, the product of two primes.
- 2
13765 is composite. Its prime factorisation is
- 3
The divisors add up to 16524; without 13765 itself that is 2759, so 13765 is deficient (2759 is less than 13765). Euler's totient φ(13765) = 11008 numbers up to 13765 share no factor with it.
- 4
The digits of 13765 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13765 = 5 \times 2753 \]
13765 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16524 |
| Euler totient φ(n) | 11008 |
| Square | 189475225 |
| Cube | 2608126472125 |
| Square root | 117.324337 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3765 × |
13765 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and sixty-five |
| Binary (base 2) | 11010111000101 |
| Octal (base 8) | 32705 |
| Hexadecimal (base 16) | 35C5 |
| Base 3 | 200212211 |
| As time | 13765 seconds = 3 h 49 min 25 s |
Is 13765 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 | Yes (13765 ÷ 5 = 2753) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 13765 a prime number?
No. 13765 = 5 × 2753, so it is divisible by 5.
What are the factors of 13765?
1, 5, 2753, 13765.
What is 13765 in binary?
11010111000101 (hexadecimal 35C5, octal 32705).
What is the square root of 13765?
About 117.3243.
Is 13765 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13765?
13765 is a semiprime: 5 × 2753, the product of two primes.