The number 14744
14744 is a composite number with 16 divisors. Its prime factorisation is × 19 × 97. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 97, 152, 194, 388, 776, 1843, 3686, 7372, 14744.
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How to work it out
- 1
14744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14744 is composite. Its prime factorisation is
- 3
The divisors add up to 29400; without 14744 itself that is 14656, so 14744 is deficient (14656 is less than 14744). Euler's totient φ(14744) = 6912 numbers up to 14744 share no factor with it.
- 4
The digits of 14744 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14744 = 2^{3} \times 19 \times 97 \]14744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29400 |
| Euler totient φ(n) | 6912 |
| Square | 217385536 |
| Cube | 3205132342784 |
| Square root | 121.424874 (= 2√3686) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4744 × |
14744 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and forty-four |
| Binary (base 2) | 11100110011000 |
| Octal (base 8) | 34630 |
| Hexadecimal (base 16) | 3998 |
| Base 3 | 202020002 |
| As time | 14744 seconds = 4 h 5 min 44 s |
Is 14744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14744 ÷ 2 = 7372) | 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 | Yes (14744 ÷ 4 = 3686) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (14744 ÷ 8 = 1843) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14744 a prime number?
No. 14744 = × 19 × 97, so it is divisible by 2.
What are the factors of 14744?
1, 2, 4, 8, 19, 38, 76, 97, 152, 194, 388, 776, 1843, 3686, 7372, 14744.
What is 14744 in binary?
11100110011000 (hexadecimal 3998, octal 34630).
What is the square root of 14744?
About 121.4249, exactly 2√3686.
Is 14744 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 14744?
It is a composite number with 16 divisors.