The number 14820
14820 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 13 × 19. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 19, 20, 26, 30, 38, 39 … 14820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14820: a Harshad number: divisible by its digit sum 15.
- 2
14820 is composite. Its prime factorisation is
- 3
The divisors add up to 47040; without 14820 itself that is 32220, so 14820 is abundant (32220 is more than 14820). Euler's totient φ(14820) = 3456 numbers up to 14820 share no factor with it.
- 4
The digits of 14820 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14820 = 2^{2} \times 3 \times 5 \times 13 \times 19 \]14820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 47040 |
| Euler totient φ(n) | 3456 |
| Square | 219632400 |
| Cube | 3254952168000 |
| Square root | 121.737422 (= 2√3705) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.482 × |
14820 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand eight hundred and twenty |
| Binary (base 2) | 11100111100100 |
| Octal (base 8) | 34744 |
| Hexadecimal (base 16) | 39E4 |
| Base 3 | 202022220 |
| As time | 14820 seconds = 4 h 7 min 0 s |
Is 14820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14820 ÷ 2 = 7410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14820 ÷ 3 = 4940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14820 ÷ 4 = 3705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14820 ÷ 5 = 2964) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14820 ÷ 6 = 2470) | 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 4) | 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 | Yes (14820 ÷ 10 = 1482) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14820 ÷ 12 = 1235) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14820 a prime number?
No. 14820 = × 3 × 5 × 13 × 19, so it is divisible by 2.
What are the factors of 14820?
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 19, 20, 26, 30, 38, 39, 52, 57, 60, 65, 76, 78, 95, 114, 130, 156, 190, 195, 228, 247, 260, 285, 380, 390, 494, 570, 741, 780, 988, 1140, 1235, 1482, 2470, 2964, 3705, 4940, 7410, 14820.
What is 14820 in binary?
11100111100100 (hexadecimal 39E4, octal 34744).
What is the square root of 14820?
About 121.7374, exactly 2√3705.
Is 14820 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 14820?
14820 is a Harshad number: divisible by its digit sum 15.