The number 48268
48268 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1097. Divisors (12): 1, 2, 4, 11, 22, 44, 1097, 2194, 4388, 12067, 24134, 48268.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48268 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48268 is composite. Its prime factorisation is
- 3
The divisors add up to 92232; without 48268 itself that is 43964, so 48268 is deficient (43964 is less than 48268). Euler's totient φ(48268) = 21920 numbers up to 48268 share no factor with it.
- 4
The digits of 48268 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48268 = 2^{2} \times 11 \times 1097 \]48268 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 92232 |
| Euler totient φ(n) | 21920 |
| Square | 2329799824 |
| Cube | 112454777904832 |
| Square root | 219.699795 (= 2√12067) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8268 × |
48268 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and sixty-eight |
| Binary (base 2) | 1011110010001100 |
| Octal (base 8) | 136214 |
| Hexadecimal (base 16) | BC8C |
| Base 3 | 2110012201 |
| As time | 48268 seconds = 13 h 24 min 28 s |
Is 48268 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48268 ÷ 2 = 24134) | 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 (48268 ÷ 4 = 12067) | 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 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 1) | 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 | Yes (48268 ÷ 11 = 4388) | 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 48268 a prime number?
No. 48268 = × 11 × 1097, so it is divisible by 2.
What are the factors of 48268?
1, 2, 4, 11, 22, 44, 1097, 2194, 4388, 12067, 24134, 48268.
What is 48268 in binary?
1011110010001100 (hexadecimal BC8C, octal 136214).
What is the square root of 48268?
About 219.6998, exactly 2√12067.
Is 48268 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48268?
It is a composite number with 12 divisors.