The number 48730
48730 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 443. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 443, 886, 2215, 4430, 4873, 9746, 24365, 48730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48730: a Harshad number: divisible by its digit sum 22.
- 2
48730 is composite. Its prime factorisation is
- 3
The divisors add up to 95904; without 48730 itself that is 47174, so 48730 is deficient (47174 is less than 48730). Euler's totient φ(48730) = 17680 numbers up to 48730 share no factor with it.
- 4
The digits of 48730 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48730 = 2 \times 5 \times 11 \times 443 \]
48730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95904 |
| Euler totient φ(n) | 17680 |
| Square | 2374612900 |
| Cube | 115714886617000 |
| Square root | 220.748726 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.873 × |
48730 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and thirty |
| Binary (base 2) | 1011111001011010 |
| Octal (base 8) | 137132 |
| Hexadecimal (base 16) | BE5A |
| Base 3 | 2110211211 |
| As time | 48730 seconds = 13 h 32 min 10 s |
Is 48730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48730 ÷ 2 = 24365) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48730 ÷ 5 = 9746) | 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 3) | 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 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48730 ÷ 10 = 4873) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48730 ÷ 11 = 4430) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48730 a prime number?
No. 48730 = 2 × 5 × 11 × 443, so it is divisible by 2.
What are the factors of 48730?
1, 2, 5, 10, 11, 22, 55, 110, 443, 886, 2215, 4430, 4873, 9746, 24365, 48730.
What is 48730 in binary?
1011111001011010 (hexadecimal BE5A, octal 137132).
What is the square root of 48730?
About 220.7487.
Is 48730 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48730?
48730 is a Harshad number: divisible by its digit sum 22.