The number 48208
48208 is a composite number with 20 divisors. Its prime factorisation is × 23 × 131. Divisors (20): 1, 2, 4, 8, 16, 23, 46, 92, 131, 184, 262, 368, 524, 1048, 2096, 3013 … 48208.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48208 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48208 is composite. Its prime factorisation is
- 3
The divisors add up to 98208; without 48208 itself that is 50000, so 48208 is abundant (50000 is more than 48208). Euler's totient φ(48208) = 22880 numbers up to 48208 share no factor with it.
- 4
The digits of 48208 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 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48208 = 2^{4} \times 23 \times 131 \]48208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 98208 |
| Euler totient φ(n) | 22880 |
| Square | 2324011264 |
| Cube | 112035935014912 |
| Square root | 219.563203 (= 4√3013) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.8208 × |
48208 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and eight |
| Binary (base 2) | 1011110001010000 |
| Octal (base 8) | 136120 |
| Hexadecimal (base 16) | BC50 |
| Base 3 | 2110010111 |
| As time | 48208 seconds = 13 h 23 min 28 s |
Is 48208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48208 ÷ 2 = 24104) | 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 | Yes (48208 ÷ 4 = 12052) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 | Yes (48208 ÷ 8 = 6026) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48208 a prime number?
No. 48208 = × 23 × 131, so it is divisible by 2.
What are the factors of 48208?
1, 2, 4, 8, 16, 23, 46, 92, 131, 184, 262, 368, 524, 1048, 2096, 3013, 6026, 12052, 24104, 48208.
What is 48208 in binary?
1011110001010000 (hexadecimal BC50, octal 136120).
What is the square root of 48208?
About 219.5632, exactly 4√3013.
Is 48208 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48208?
It is a composite number with 20 divisors.