The number 48804
48804 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 83. Divisors (36): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 83, 84, 98, 147 … 48804.
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How to work it out
- 1
48804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48804 is composite. Its prime factorisation is
- 3
The divisors add up to 134064; without 48804 itself that is 85260, so 48804 is abundant (85260 is more than 48804). Euler's totient φ(48804) = 13776 numbers up to 48804 share no factor with it.
- 4
The digits of 48804 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48804 = 2^{2} \times 3 \times 7^{2} \times 83 \]48804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 134064 |
| Euler totient φ(n) | 13776 |
| Square | 2381830416 |
| Cube | 116242851622464 |
| Square root | 220.916274 (= 14√249) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8804 × |
48804 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and four |
| Binary (base 2) | 1011111010100100 |
| Octal (base 8) | 137244 |
| Hexadecimal (base 16) | BEA4 |
| Base 3 | 2110221120 |
| As time | 48804 seconds = 13 h 33 min 24 s |
Is 48804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48804 ÷ 2 = 24402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48804 ÷ 3 = 16268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48804 ÷ 4 = 12201) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48804 ÷ 6 = 8134) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48804 ÷ 7 = 6972) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48804 ÷ 12 = 4067) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48804 a prime number?
No. 48804 = × 3 × × 83, so it is divisible by 2.
What are the factors of 48804?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 83, 84, 98, 147, 166, 196, 249, 294, 332, 498, 581, 588, 996, 1162, 1743, 2324, 3486, 4067, 6972, 8134, 12201, 16268, 24402, 48804.
What is 48804 in binary?
1011111010100100 (hexadecimal BEA4, octal 137244).
What is the square root of 48804?
About 220.9163, exactly 14√249.
Is 48804 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48804?
It is a composite number with 36 divisors.