The number 14136
14136 is a composite number with 32 divisors. Its prime factorisation is × 3 × 19 × 31. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 19, 24, 31, 38, 57, 62, 76, 93, 114 … 14136.
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How to work it out
- 1
14136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14136 is composite. Its prime factorisation is
- 3
The divisors add up to 38400; without 14136 itself that is 24264, so 14136 is abundant (24264 is more than 14136). Euler's totient φ(14136) = 4320 numbers up to 14136 share no factor with it.
- 4
The digits of 14136 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14136 = 2^{3} \times 3 \times 19 \times 31 \]14136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 38400 |
| Euler totient φ(n) | 4320 |
| Square | 199826496 |
| Cube | 2824747347456 |
| Square root | 118.894912 (= 2√3534) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.4136 × |
14136 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and thirty-six |
| Binary (base 2) | 11011100111000 |
| Octal (base 8) | 33470 |
| Hexadecimal (base 16) | 3738 |
| Base 3 | 201101120 |
| As time | 14136 seconds = 3 h 55 min 36 s |
Is 14136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14136 ÷ 2 = 7068) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14136 ÷ 3 = 4712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14136 ÷ 4 = 3534) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14136 ÷ 6 = 2356) | 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 | Yes (14136 ÷ 8 = 1767) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14136 ÷ 12 = 1178) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14136 a prime number?
No. 14136 = × 3 × 19 × 31, so it is divisible by 2.
What are the factors of 14136?
1, 2, 3, 4, 6, 8, 12, 19, 24, 31, 38, 57, 62, 76, 93, 114, 124, 152, 186, 228, 248, 372, 456, 589, 744, 1178, 1767, 2356, 3534, 4712, 7068, 14136.
What is 14136 in binary?
11011100111000 (hexadecimal 3738, octal 33470).
What is the square root of 14136?
About 118.8949, exactly 2√3534.
Is 14136 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 14136?
It is a composite number with 32 divisors.