The number 13738
13738 is a composite number with 4 divisors. Its prime factorisation is 2 × 6869. Divisors (4): 1, 2, 6869, 13738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13738: a semiprime: 2 × 6869, the product of two primes.
- 2
13738 is composite. Its prime factorisation is
- 3
The divisors add up to 20610; without 13738 itself that is 6872, so 13738 is deficient (6872 is less than 13738). Euler's totient φ(13738) = 6868 numbers up to 13738 share no factor with it.
- 4
The digits of 13738 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
\[ 13738 = 2 \times 6869 \]
13738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20610 |
| Euler totient φ(n) | 6868 |
| Square | 188732644 |
| Cube | 2592809063272 |
| Square root | 117.209215 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3738 × |
13738 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty-eight |
| Binary (base 2) | 11010110101010 |
| Octal (base 8) | 32652 |
| Hexadecimal (base 16) | 35AA |
| Base 3 | 200211211 |
| As time | 13738 seconds = 3 h 48 min 58 s |
Is 13738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13738 ÷ 2 = 6869) | 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 2) | 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 4) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13738 a prime number?
No. 13738 = 2 × 6869, so it is divisible by 2.
What are the factors of 13738?
1, 2, 6869, 13738.
What is 13738 in binary?
11010110101010 (hexadecimal 35AA, octal 32652).
What is the square root of 13738?
About 117.2092.
Is 13738 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13738?
13738 is a semiprime: 2 × 6869, the product of two primes.