The number 48363
48363 is a composite number with 16 divisors. Its prime factorisation is 3 × × 47. Divisors (16): 1, 3, 7, 21, 47, 49, 141, 147, 329, 343, 987, 1029, 2303, 6909, 16121, 48363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48363 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48363 is composite. Its prime factorisation is
- 3
The divisors add up to 76800; without 48363 itself that is 28437, so 48363 is deficient (28437 is less than 48363). Euler's totient φ(48363) = 27048 numbers up to 48363 share no factor with it.
- 4
The digits of 48363 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48363 = 3 \times 7^{3} \times 47 \]48363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76800 |
| Euler totient φ(n) | 27048 |
| Square | 2338979769 |
| Cube | 113120078568147 |
| Square root | 219.915893 (= 7√987) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8363 × |
48363 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and sixty-three |
| Binary (base 2) | 1011110011101011 |
| Octal (base 8) | 136353 |
| Hexadecimal (base 16) | BCEB |
| Base 3 | 2110100020 |
| As time | 48363 seconds = 13 h 26 min 3 s |
Is 48363 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 (48363 ÷ 3 = 16121) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (48363 ÷ 7 = 6909) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48363 a prime number?
No. 48363 = 3 × × 47, so it is divisible by 3.
What are the factors of 48363?
1, 3, 7, 21, 47, 49, 141, 147, 329, 343, 987, 1029, 2303, 6909, 16121, 48363.
What is 48363 in binary?
1011110011101011 (hexadecimal BCEB, octal 136353).
What is the square root of 48363?
About 219.9159, exactly 7√987.
Is 48363 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48363?
It is a composite number with 16 divisors.