The number 14104
14104 is a composite number with 16 divisors. Its prime factorisation is × 41 × 43. Divisors (16): 1, 2, 4, 8, 41, 43, 82, 86, 164, 172, 328, 344, 1763, 3526, 7052, 14104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14104 is composite. Its prime factorisation is
- 3
The divisors add up to 27720; without 14104 itself that is 13616, so 14104 is deficient (13616 is less than 14104). Euler's totient φ(14104) = 6720 numbers up to 14104 share no factor with it.
- 4
The digits of 14104 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14104 = 2^{3} \times 41 \times 43 \]14104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27720 |
| Euler totient φ(n) | 6720 |
| Square | 198922816 |
| Cube | 2805607396864 |
| Square root | 118.760263 (= 2√3526) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.4104 × |
14104 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and four |
| Binary (base 2) | 11011100011000 |
| Octal (base 8) | 33430 |
| Hexadecimal (base 16) | 3718 |
| Base 3 | 201100101 |
| As time | 14104 seconds = 3 h 55 min 4 s |
Is 14104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14104 ÷ 2 = 7052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14104 ÷ 4 = 3526) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (14104 ÷ 8 = 1763) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14104 a prime number?
No. 14104 = × 41 × 43, so it is divisible by 2.
What are the factors of 14104?
1, 2, 4, 8, 41, 43, 82, 86, 164, 172, 328, 344, 1763, 3526, 7052, 14104.
What is 14104 in binary?
11011100011000 (hexadecimal 3718, octal 33430).
What is the square root of 14104?
About 118.7603, exactly 2√3526.
Is 14104 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 14104?
It is a composite number with 16 divisors.