The number 14124
14124 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 107. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 107, 132, 214, 321, 428 … 14124.
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How to work it out
- 1
What is special about 14124: a Harshad number: divisible by its digit sum 12.
- 2
14124 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 14124 itself that is 22164, so 14124 is abundant (22164 is more than 14124). Euler's totient φ(14124) = 4240 numbers up to 14124 share no factor with it.
- 4
The digits of 14124 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14124 = 2^{2} \times 3 \times 11 \times 107 \]14124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 4240 |
| Square | 199487376 |
| Cube | 2817559698624 |
| Square root | 118.844436 (= 2√3531) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 102 |
| Scientific notation | 1.4124 × |
14124 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and twenty-four |
| Binary (base 2) | 11011100101100 |
| Octal (base 8) | 33454 |
| Hexadecimal (base 16) | 372C |
| Base 3 | 201101010 |
| As time | 14124 seconds = 3 h 55 min 24 s |
Is 14124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14124 ÷ 2 = 7062) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14124 ÷ 3 = 4708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14124 ÷ 4 = 3531) | 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 | Yes (14124 ÷ 6 = 2354) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 | Yes (14124 ÷ 11 = 1284) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14124 ÷ 12 = 1177) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14124 a prime number?
No. 14124 = × 3 × 11 × 107, so it is divisible by 2.
What are the factors of 14124?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 107, 132, 214, 321, 428, 642, 1177, 1284, 2354, 3531, 4708, 7062, 14124.
What is 14124 in binary?
11011100101100 (hexadecimal 372C, octal 33454).
What is the square root of 14124?
About 118.8444, exactly 2√3531.
Is 14124 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 14124?
14124 is a Harshad number: divisible by its digit sum 12.