The number 14240
14240 is a composite number with 24 divisors. Its prime factorisation is × 5 × 89. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 89, 160, 178, 356, 445 … 14240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14240 is composite. Its prime factorisation is
- 3
The divisors add up to 34020; without 14240 itself that is 19780, so 14240 is abundant (19780 is more than 14240). Euler's totient φ(14240) = 5632 numbers up to 14240 share no factor with it.
- 4
The digits of 14240 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14240 = 2^{5} \times 5 \times 89 \]14240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34020 |
| Euler totient φ(n) | 5632 |
| Square | 202777600 |
| Cube | 2887553024000 |
| Square root | 119.331471 (= 4√890) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.424 × |
14240 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand two hundred and forty |
| Binary (base 2) | 11011110100000 |
| Octal (base 8) | 33640 |
| Hexadecimal (base 16) | 37A0 |
| Base 3 | 201112102 |
| As time | 14240 seconds = 3 h 57 min 20 s |
Is 14240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14240 ÷ 2 = 7120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14240 ÷ 4 = 3560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14240 ÷ 5 = 2848) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (14240 ÷ 8 = 1780) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14240 ÷ 10 = 1424) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14240 a prime number?
No. 14240 = × 5 × 89, so it is divisible by 2.
What are the factors of 14240?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 89, 160, 178, 356, 445, 712, 890, 1424, 1780, 2848, 3560, 7120, 14240.
What is 14240 in binary?
11011110100000 (hexadecimal 37A0, octal 33640).
What is the square root of 14240?
About 119.3315, exactly 4√890.
Is 14240 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 14240?
It is a composite number with 24 divisors.