The number 48735
48735 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 361, 513, 855 … 48735.
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How to work it out
- 1
What is special about 48735: a Harshad number: divisible by its digit sum 27.
- 2
48735 is composite. Its prime factorisation is
- 3
The divisors add up to 91440; without 48735 itself that is 42705, so 48735 is deficient (42705 is less than 48735). Euler's totient φ(48735) = 24624 numbers up to 48735 share no factor with it.
- 4
The digits of 48735 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48735 = 3^{3} \times 5 \times 19^{2} \]48735 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91440 |
| Euler totient φ(n) | 24624 |
| Square | 2375100225 |
| Cube | 115750509465375 |
| Square root | 220.760051 (= 57√15) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8735 × |
48735 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and thirty-five |
| Binary (base 2) | 1011111001011111 |
| Octal (base 8) | 137137 |
| Hexadecimal (base 16) | BE5F |
| Base 3 | 2110212000 |
| As time | 48735 seconds = 13 h 32 min 15 s |
Is 48735 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48735 ÷ 3 = 16245) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48735 ÷ 5 = 9747) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48735 ÷ 9 = 5415) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48735 a prime number?
No. 48735 = × 5 × , so it is divisible by 3.
What are the factors of 48735?
1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 361, 513, 855, 1083, 1805, 2565, 3249, 5415, 9747, 16245, 48735.
What is 48735 in binary?
1011111001011111 (hexadecimal BE5F, octal 137137).
What is the square root of 48735?
About 220.7601, exactly 57√15.
Is 48735 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48735?
48735 is a Harshad number: divisible by its digit sum 27.