The number 14320
14320 is a composite number with 20 divisors. Its prime factorisation is × 5 × 179. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 179, 358, 716, 895, 1432, 1790 … 14320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14320: a Harshad number: divisible by its digit sum 10.
- 2
14320 is composite. Its prime factorisation is
- 3
The divisors add up to 33480; without 14320 itself that is 19160, so 14320 is abundant (19160 is more than 14320). Euler's totient φ(14320) = 5696 numbers up to 14320 share no factor with it.
- 4
The digits of 14320 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14320 = 2^{4} \times 5 \times 179 \]14320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 33480 |
| Euler totient φ(n) | 5696 |
| Square | 205062400 |
| Cube | 2936493568000 |
| Square root | 119.666202 (= 4√895) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 102 |
| Scientific notation | 1.432 × |
14320 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand three hundred and twenty |
| Binary (base 2) | 11011111110000 |
| Octal (base 8) | 33760 |
| Hexadecimal (base 16) | 37F0 |
| Base 3 | 201122101 |
| As time | 14320 seconds = 3 h 58 min 40 s |
Is 14320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14320 ÷ 2 = 7160) | 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 (14320 ÷ 4 = 3580) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14320 ÷ 5 = 2864) | 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 5) | 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 (14320 ÷ 8 = 1790) | 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 | Yes (14320 ÷ 10 = 1432) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 14320 a prime number?
No. 14320 = × 5 × 179, so it is divisible by 2.
What are the factors of 14320?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 179, 358, 716, 895, 1432, 1790, 2864, 3580, 7160, 14320.
What is 14320 in binary?
11011111110000 (hexadecimal 37F0, octal 33760).
What is the square root of 14320?
About 119.6662, exactly 4√895.
Is 14320 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 14320?
14320 is a Harshad number: divisible by its digit sum 10.