The number 14388
14388 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 109. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 109, 132, 218, 327, 436 … 14388.
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How to work it out
- 1
14388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14388 is composite. Its prime factorisation is
- 3
The divisors add up to 36960; without 14388 itself that is 22572, so 14388 is abundant (22572 is more than 14388). Euler's totient φ(14388) = 4320 numbers up to 14388 share no factor with it.
- 4
The digits of 14388 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14388 = 2^{2} \times 3 \times 11 \times 109 \]14388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36960 |
| Euler totient φ(n) | 4320 |
| Square | 207014544 |
| Cube | 2978525259072 |
| Square root | 119.949990 (= 2√3597) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.4388 × |
14388 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand three hundred and eighty-eight |
| Binary (base 2) | 11100000110100 |
| Octal (base 8) | 34064 |
| Hexadecimal (base 16) | 3834 |
| Base 3 | 201201220 |
| As time | 14388 seconds = 3 h 59 min 48 s |
Is 14388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14388 ÷ 2 = 7194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14388 ÷ 3 = 4796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14388 ÷ 4 = 3597) | 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 (14388 ÷ 6 = 2398) | 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 6) | 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 | Yes (14388 ÷ 11 = 1308) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14388 ÷ 12 = 1199) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14388 a prime number?
No. 14388 = × 3 × 11 × 109, so it is divisible by 2.
What are the factors of 14388?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 109, 132, 218, 327, 436, 654, 1199, 1308, 2398, 3597, 4796, 7194, 14388.
What is 14388 in binary?
11100000110100 (hexadecimal 3834, octal 34064).
What is the square root of 14388?
About 119.9500, exactly 2√3597.
Is 14388 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 14388?
It is a composite number with 24 divisors.