The number 13744
13744 is a composite number with 10 divisors. Its prime factorisation is × 859. Divisors (10): 1, 2, 4, 8, 16, 859, 1718, 3436, 6872, 13744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13744: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13744 is composite. Its prime factorisation is
- 3
The divisors add up to 26660; without 13744 itself that is 12916, so 13744 is deficient (12916 is less than 13744). Euler's totient φ(13744) = 6864 numbers up to 13744 share no factor with it.
- 4
The digits of 13744 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13744 = 2^{4} \times 859 \]13744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 26660 |
| Euler totient φ(n) | 6864 |
| Square | 188897536 |
| Cube | 2596207734784 |
| Square root | 117.234807 (= 4√859) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3744 × |
13744 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and forty-four |
| Binary (base 2) | 11010110110000 |
| Octal (base 8) | 32660 |
| Hexadecimal (base 16) | 35B0 |
| Base 3 | 200212001 |
| As time | 13744 seconds = 3 h 49 min 4 s |
Is 13744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13744 ÷ 2 = 6872) | 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 | Yes (13744 ÷ 4 = 3436) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (13744 ÷ 8 = 1718) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13744 a prime number?
No. 13744 = × 859, so it is divisible by 2.
What are the factors of 13744?
1, 2, 4, 8, 16, 859, 1718, 3436, 6872, 13744.
What is 13744 in binary?
11010110110000 (hexadecimal 35B0, octal 32660).
What is the square root of 13744?
About 117.2348, exactly 4√859.
Is 13744 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13744?
13744 is a happy number: repeatedly adding the squares of its digits reaches 1.