The number 13747
13747 is a composite number with 4 divisors. Its prime factorisation is 59 × 233. Divisors (4): 1, 59, 233, 13747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13747: a semiprime: 59 × 233, the product of two primes.
- 2
13747 is composite. Its prime factorisation is
- 3
The divisors add up to 14040; without 13747 itself that is 293, so 13747 is deficient (293 is less than 13747). Euler's totient φ(13747) = 13456 numbers up to 13747 share no factor with it.
- 4
The digits of 13747 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13747 = 59 \times 233 \]
13747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14040 |
| Euler totient φ(n) | 13456 |
| Square | 188980009 |
| Cube | 2597908183723 |
| Square root | 117.247601 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3747 × |
13747 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and forty-seven |
| Binary (base 2) | 11010110110011 |
| Octal (base 8) | 32663 |
| Hexadecimal (base 16) | 35B3 |
| Base 3 | 200212011 |
| As time | 13747 seconds = 3 h 49 min 7 s |
Is 13747 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13747 a prime number?
No. 13747 = 59 × 233, so it is divisible by 59.
What are the factors of 13747?
1, 59, 233, 13747.
What is 13747 in binary?
11010110110011 (hexadecimal 35B3, octal 32663).
What is the square root of 13747?
About 117.2476.
Is 13747 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13747?
13747 is a semiprime: 59 × 233, the product of two primes.