The number 14144
14144 is a composite number with 28 divisors. Its prime factorisation is × 13 × 17. Divisors (28): 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 64, 68, 104, 136, 208 … 14144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14144 is composite. Its prime factorisation is
- 3
The divisors add up to 32004; without 14144 itself that is 17860, so 14144 is abundant (17860 is more than 14144). Euler's totient φ(14144) = 6144 numbers up to 14144 share no factor with it.
- 4
The digits of 14144 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14144 = 2^{6} \times 13 \times 17 \]14144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 32004 |
| Euler totient φ(n) | 6144 |
| Square | 200052736 |
| Cube | 2829545897984 |
| Square root | 118.928550 (= 8√221) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.4144 × |
14144 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and forty-four |
| Binary (base 2) | 11011101000000 |
| Octal (base 8) | 33500 |
| Hexadecimal (base 16) | 3740 |
| Base 3 | 201101212 |
| As time | 14144 seconds = 3 h 55 min 44 s |
Is 14144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14144 ÷ 2 = 7072) | 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 (14144 ÷ 4 = 3536) | 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 4) | 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 (14144 ÷ 8 = 1768) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 14144 a prime number?
No. 14144 = × 13 × 17, so it is divisible by 2.
What are the factors of 14144?
1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 64, 68, 104, 136, 208, 221, 272, 416, 442, 544, 832, 884, 1088, 1768, 3536, 7072, 14144.
What is 14144 in binary?
11011101000000 (hexadecimal 3740, octal 33500).
What is the square root of 14144?
About 118.9285, exactly 8√221.
Is 14144 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 14144?
It is a composite number with 28 divisors.