The number 48330
48330 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 179. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 179 … 48330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48330: a Harshad number: divisible by its digit sum 18.
- 2
48330 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 48330 itself that is 81270, so 48330 is abundant (81270 is more than 48330). Euler's totient φ(48330) = 12816 numbers up to 48330 share no factor with it.
- 4
The digits of 48330 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48330 = 2 \times 3^{3} \times 5 \times 179 \]48330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 12816 |
| Square | 2335788900 |
| Cube | 112888677537000 |
| Square root | 219.840852 (= 3√5370) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.833 × |
48330 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and thirty |
| Binary (base 2) | 1011110011001010 |
| Octal (base 8) | 136312 |
| Hexadecimal (base 16) | BCCA |
| Base 3 | 2110022000 |
| As time | 48330 seconds = 13 h 25 min 30 s |
Is 48330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48330 ÷ 2 = 24165) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48330 ÷ 3 = 16110) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48330 ÷ 5 = 9666) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48330 ÷ 6 = 8055) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48330 ÷ 9 = 5370) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48330 ÷ 10 = 4833) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48330 a prime number?
No. 48330 = 2 × × 5 × 179, so it is divisible by 2.
What are the factors of 48330?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 179, 270, 358, 537, 895, 1074, 1611, 1790, 2685, 3222, 4833, 5370, 8055, 9666, 16110, 24165, 48330.
What is 48330 in binary?
1011110011001010 (hexadecimal BCCA, octal 136312).
What is the square root of 48330?
About 219.8409, exactly 3√5370.
Is 48330 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48330?
48330 is a Harshad number: divisible by its digit sum 18.