The number 48093
48093 is a binary palindrome (1011101111011101). Its prime factorisation is 3 × 17 × 23 × 41. Divisors (16): 1, 3, 17, 23, 41, 51, 69, 123, 391, 697, 943, 1173, 2091, 2829, 16031, 48093.
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How to work it out
- 1
What is special about 48093: a binary palindrome (1011101111011101).
- 2
48093 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 48093 itself that is 24483, so 48093 is deficient (24483 is less than 48093). Euler's totient φ(48093) = 28160 numbers up to 48093 share no factor with it.
- 4
The digits of 48093 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48093 = 3 \times 17 \times 23 \times 41 \]
48093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 28160 |
| Square | 2312936649 |
| Cube | 111236062260357 |
| Square root | 219.301163 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8093 × |
48093 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and ninety-three |
| Binary (base 2) | 1011101111011101 |
| Octal (base 8) | 135735 |
| Hexadecimal (base 16) | BBDD |
| Base 3 | 2102222020 |
| As time | 48093 seconds = 13 h 21 min 33 s |
Is 48093 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 (48093 ÷ 3 = 16031) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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 5) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48093 a prime number?
No. 48093 = 3 × 17 × 23 × 41, so it is divisible by 3.
What are the factors of 48093?
1, 3, 17, 23, 41, 51, 69, 123, 391, 697, 943, 1173, 2091, 2829, 16031, 48093.
What is 48093 in binary?
1011101111011101 (hexadecimal BBDD, octal 135735).
What is the square root of 48093?
About 219.3012.
Is 48093 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48093?
48093 is a binary palindrome (1011101111011101).