The number 13739
13739 is a composite number with 4 divisors. Its prime factorisation is 11 × 1249. Divisors (4): 1, 11, 1249, 13739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13739: a semiprime: 11 × 1249, the product of two primes.
- 2
13739 is composite. Its prime factorisation is
- 3
The divisors add up to 15000; without 13739 itself that is 1261, so 13739 is deficient (1261 is less than 13739). Euler's totient φ(13739) = 12480 numbers up to 13739 share no factor with it.
- 4
The digits of 13739 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13739 = 11 \times 1249 \]
13739 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15000 |
| Euler totient φ(n) | 12480 |
| Square | 188760121 |
| Cube | 2593375302419 |
| Square root | 117.213480 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 195 |
| Scientific notation | 1.3739 × |
13739 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty-nine |
| Binary (base 2) | 11010110101011 |
| Octal (base 8) | 32653 |
| Hexadecimal (base 16) | 35AB |
| Base 3 | 200211212 |
| As time | 13739 seconds = 3 h 48 min 59 s |
Is 13739 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13739 ÷ 11 = 1249) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13739 a prime number?
No. 13739 = 11 × 1249, so it is divisible by 11.
What are the factors of 13739?
1, 11, 1249, 13739.
What is 13739 in binary?
11010110101011 (hexadecimal 35AB, octal 32653).
What is the square root of 13739?
About 117.2135.
Is 13739 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13739?
13739 is a semiprime: 11 × 1249, the product of two primes.