The number 14337
14337 is a composite number with 12 divisors. Its prime factorisation is × 59. Divisors (12): 1, 3, 9, 27, 59, 81, 177, 243, 531, 1593, 4779, 14337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14337 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14337 is composite. Its prime factorisation is
- 3
The divisors add up to 21840; without 14337 itself that is 7503, so 14337 is deficient (7503 is less than 14337). Euler's totient φ(14337) = 9396 numbers up to 14337 share no factor with it.
- 4
The digits of 14337 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14337 = 3^{5} \times 59 \]14337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21840 |
| Euler totient φ(n) | 9396 |
| Square | 205549569 |
| Cube | 2946964170753 |
| Square root | 119.737212 (= 9√177) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.4337 × |
14337 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand three hundred and thirty-seven |
| Binary (base 2) | 11100000000001 |
| Octal (base 8) | 34001 |
| Hexadecimal (base 16) | 3801 |
| Base 3 | 201200000 |
| As time | 14337 seconds = 3 h 58 min 57 s |
Is 14337 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14337 ÷ 3 = 4779) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14337 ÷ 9 = 1593) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14337 a prime number?
No. 14337 = × 59, so it is divisible by 3.
What are the factors of 14337?
1, 3, 9, 27, 59, 81, 177, 243, 531, 1593, 4779, 14337.
What is 14337 in binary?
11100000000001 (hexadecimal 3801, octal 34001).
What is the square root of 14337?
About 119.7372, exactly 9√177.
Is 14337 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14337?
It is a composite number with 12 divisors.