The number 48555
48555 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 83. Divisors (24): 1, 3, 5, 9, 13, 15, 39, 45, 65, 83, 117, 195, 249, 415, 585, 747 … 48555.
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How to work it out
- 1
48555 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48555 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 48555 itself that is 43173, so 48555 is deficient (43173 is less than 48555). Euler's totient φ(48555) = 23616 numbers up to 48555 share no factor with it.
- 4
The digits of 48555 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48555 = 3^{2} \times 5 \times 13 \times 83 \]48555 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 23616 |
| Square | 2357588025 |
| Cube | 114472686553875 |
| Square root | 220.351991 (= 3√5395) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8555 × |
48555 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and fifty-five |
| Binary (base 2) | 1011110110101011 |
| Octal (base 8) | 136653 |
| Hexadecimal (base 16) | BDAB |
| Base 3 | 2110121100 |
| As time | 48555 seconds = 13 h 29 min 15 s |
Is 48555 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 (48555 ÷ 3 = 16185) | 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 (48555 ÷ 5 = 9711) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48555 ÷ 9 = 5395) | 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 1) | 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 48555 a prime number?
No. 48555 = × 5 × 13 × 83, so it is divisible by 3.
What are the factors of 48555?
1, 3, 5, 9, 13, 15, 39, 45, 65, 83, 117, 195, 249, 415, 585, 747, 1079, 1245, 3237, 3735, 5395, 9711, 16185, 48555.
What is 48555 in binary?
1011110110101011 (hexadecimal BDAB, octal 136653).
What is the square root of 48555?
About 220.3520, exactly 3√5395.
Is 48555 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48555?
It is a composite number with 24 divisors.