The number 13745
13745 is a composite number with 4 divisors. Its prime factorisation is 5 × 2749. Divisors (4): 1, 5, 2749, 13745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13745: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 2749, the product of two primes.
- 2
13745 is composite. Its prime factorisation is
- 3
The divisors add up to 16500; without 13745 itself that is 2755, so 13745 is deficient (2755 is less than 13745). Euler's totient φ(13745) = 10992 numbers up to 13745 share no factor with it.
- 4
The digits of 13745 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13745 = 5 \times 2749 \]
13745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16500 |
| Euler totient φ(n) | 10992 |
| Square | 188925025 |
| Cube | 2596774468625 |
| Square root | 117.239072 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3745 × |
13745 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and forty-five |
| Binary (base 2) | 11010110110001 |
| Octal (base 8) | 32661 |
| Hexadecimal (base 16) | 35B1 |
| Base 3 | 200212002 |
| As time | 13745 seconds = 3 h 49 min 5 s |
Is 13745 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 (13745 ÷ 5 = 2749) | 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 4) | 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 6) | 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 13745 a prime number?
No. 13745 = 5 × 2749, so it is divisible by 5.
What are the factors of 13745?
1, 5, 2749, 13745.
What is 13745 in binary?
11010110110001 (hexadecimal 35B1, octal 32661).
What is the square root of 13745?
About 117.2391.
Is 13745 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13745?
13745 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 2749, the product of two primes.