The number 14444
14444 is a composite number with 12 divisors. Its prime factorisation is × 23 × 157. Divisors (12): 1, 2, 4, 23, 46, 92, 157, 314, 628, 3611, 7222, 14444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14444 is composite. Its prime factorisation is
- 3
The divisors add up to 26544; without 14444 itself that is 12100, so 14444 is deficient (12100 is less than 14444). Euler's totient φ(14444) = 6864 numbers up to 14444 share no factor with it.
- 4
The digits of 14444 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14444 = 2^{2} \times 23 \times 157 \]14444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 26544 |
| Euler totient φ(n) | 6864 |
| Square | 208629136 |
| Cube | 3013439240384 |
| Square root | 120.183194 (= 2√3611) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4444 × |
14444 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and forty-four |
| Binary (base 2) | 11100001101100 |
| Octal (base 8) | 34154 |
| Hexadecimal (base 16) | 386C |
| Base 3 | 201210222 |
| As time | 14444 seconds = 4 h 0 min 44 s |
Is 14444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14444 ÷ 2 = 7222) | 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 (14444 ÷ 4 = 3611) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 14444 a prime number?
No. 14444 = × 23 × 157, so it is divisible by 2.
What are the factors of 14444?
1, 2, 4, 23, 46, 92, 157, 314, 628, 3611, 7222, 14444.
What is 14444 in binary?
11100001101100 (hexadecimal 386C, octal 34154).
What is the square root of 14444?
About 120.1832, exactly 2√3611.
Is 14444 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 14444?
It is a composite number with 12 divisors.