The number 13749
13749 is a composite number with 4 divisors. Its prime factorisation is 3 × 4583. Divisors (4): 1, 3, 4583, 13749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13749: a semiprime: 3 × 4583, the product of two primes.
- 2
13749 is composite. Its prime factorisation is
- 3
The divisors add up to 18336; without 13749 itself that is 4587, so 13749 is deficient (4587 is less than 13749). Euler's totient φ(13749) = 9164 numbers up to 13749 share no factor with it.
- 4
The digits of 13749 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13749 = 3 \times 4583 \]
13749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18336 |
| Euler totient φ(n) | 9164 |
| Square | 189035001 |
| Cube | 2599042228749 |
| Square root | 117.256130 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3749 × |
13749 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and forty-nine |
| Binary (base 2) | 11010110110101 |
| Octal (base 8) | 32665 |
| Hexadecimal (base 16) | 35B5 |
| Base 3 | 200212020 |
| As time | 13749 seconds = 3 h 49 min 9 s |
Is 13749 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 | Yes (13749 ÷ 3 = 4583) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13749 a prime number?
No. 13749 = 3 × 4583, so it is divisible by 3.
What are the factors of 13749?
1, 3, 4583, 13749.
What is 13749 in binary?
11010110110101 (hexadecimal 35B5, octal 32665).
What is the square root of 13749?
About 117.2561.
Is 13749 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13749?
13749 is a semiprime: 3 × 4583, the product of two primes.