The number 13733
13733 is a composite number with 4 divisors. Its prime factorisation is 31 × 443. Divisors (4): 1, 31, 443, 13733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13733: a semiprime: 31 × 443, the product of two primes.
- 2
13733 is composite. Its prime factorisation is
- 3
The divisors add up to 14208; without 13733 itself that is 475, so 13733 is deficient (475 is less than 13733). Euler's totient φ(13733) = 13260 numbers up to 13733 share no factor with it.
- 4
The digits of 13733 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13733 = 31 \times 443 \]
13733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14208 |
| Euler totient φ(n) | 13260 |
| Square | 188595289 |
| Cube | 2589979103837 |
| Square root | 117.187883 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3733 × |
13733 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty-three |
| Binary (base 2) | 11010110100101 |
| Octal (base 8) | 32645 |
| Hexadecimal (base 16) | 35A5 |
| Base 3 | 200211122 |
| As time | 13733 seconds = 3 h 48 min 53 s |
Is 13733 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 | No (remainder 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 13733 a prime number?
No. 13733 = 31 × 443, so it is divisible by 31.
What are the factors of 13733?
1, 31, 443, 13733.
What is 13733 in binary?
11010110100101 (hexadecimal 35A5, octal 32645).
What is the square root of 13733?
About 117.1879.
Is 13733 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13733?
13733 is a semiprime: 31 × 443, the product of two primes.