The number 48884
48884 is a palindrome: it reads 48884 backwards too. Its prime factorisation is × × 101. Divisors (18): 1, 2, 4, 11, 22, 44, 101, 121, 202, 242, 404, 484, 1111, 2222, 4444, 12221 … 48884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48884: a palindrome: it reads 48884 backwards too.
- 2
48884 is composite. Its prime factorisation is
- 3
The divisors add up to 94962; without 48884 itself that is 46078, so 48884 is deficient (46078 is less than 48884). Euler's totient φ(48884) = 22000 numbers up to 48884 share no factor with it.
- 4
The digits of 48884 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48884 = 2^{2} \times 11^{2} \times 101 \]48884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 94962 |
| Euler totient φ(n) | 22000 |
| Square | 2389645456 |
| Cube | 116815428471104 |
| Square root | 221.097264 (= 22√101) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8884 × |
48884 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and eighty-four |
| Binary (base 2) | 1011111011110100 |
| Octal (base 8) | 137364 |
| Hexadecimal (base 16) | BEF4 |
| Base 3 | 2111001112 |
| As time | 48884 seconds = 13 h 34 min 44 s |
Is 48884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48884 ÷ 2 = 24442) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48884 ÷ 4 = 12221) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (48884 ÷ 11 = 4444) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48884 a prime number?
No. 48884 = × × 101, so it is divisible by 2.
What are the factors of 48884?
1, 2, 4, 11, 22, 44, 101, 121, 202, 242, 404, 484, 1111, 2222, 4444, 12221, 24442, 48884.
What is 48884 in binary?
1011111011110100 (hexadecimal BEF4, octal 137364).
What is the square root of 48884?
About 221.0973, exactly 22√101.
Is 48884 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48884?
48884 is a palindrome: it reads 48884 backwards too.