The number 14148
14148 is a composite number with 24 divisors. Its prime factorisation is × × 131. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 131, 262, 393, 524 … 14148.
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How to work it out
- 1
What is special about 14148: a Harshad number: divisible by its digit sum 18.
- 2
14148 is composite. Its prime factorisation is
- 3
The divisors add up to 36960; without 14148 itself that is 22812, so 14148 is abundant (22812 is more than 14148). Euler's totient φ(14148) = 4680 numbers up to 14148 share no factor with it.
- 4
The digits of 14148 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14148 = 2^{2} \times 3^{3} \times 131 \]14148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36960 |
| Euler totient φ(n) | 4680 |
| Square | 200165904 |
| Cube | 2831947209792 |
| Square root | 118.945366 (= 6√393) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4148 × |
14148 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and forty-eight |
| Binary (base 2) | 11011101000100 |
| Octal (base 8) | 33504 |
| Hexadecimal (base 16) | 3744 |
| Base 3 | 201102000 |
| As time | 14148 seconds = 3 h 55 min 48 s |
Is 14148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14148 ÷ 2 = 7074) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14148 ÷ 3 = 4716) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14148 ÷ 4 = 3537) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14148 ÷ 6 = 2358) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14148 ÷ 9 = 1572) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14148 ÷ 12 = 1179) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14148 a prime number?
No. 14148 = × × 131, so it is divisible by 2.
What are the factors of 14148?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 131, 262, 393, 524, 786, 1179, 1572, 2358, 3537, 4716, 7074, 14148.
What is 14148 in binary?
11011101000100 (hexadecimal 3744, octal 33504).
What is the square root of 14148?
About 118.9454, exactly 6√393.
Is 14148 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14148?
14148 is a Harshad number: divisible by its digit sum 18.