The number 48357
48357 is a composite number with 12 divisors. Its prime factorisation is × 199. Divisors (12): 1, 3, 9, 27, 81, 199, 243, 597, 1791, 5373, 16119, 48357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48357: a Harshad number: divisible by its digit sum 27.
- 2
48357 is composite. Its prime factorisation is
- 3
The divisors add up to 72800; without 48357 itself that is 24443, so 48357 is deficient (24443 is less than 48357). Euler's totient φ(48357) = 32076 numbers up to 48357 share no factor with it.
- 4
The digits of 48357 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48357 = 3^{5} \times 199 \]48357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72800 |
| Euler totient φ(n) | 32076 |
| Square | 2338399449 |
| Cube | 113077982155293 |
| Square root | 219.902251 (= 9√597) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8357 × |
48357 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and fifty-seven |
| Binary (base 2) | 1011110011100101 |
| Octal (base 8) | 136345 |
| Hexadecimal (base 16) | BCE5 |
| Base 3 | 2110100000 |
| As time | 48357 seconds = 13 h 25 min 57 s |
Is 48357 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 (48357 ÷ 3 = 16119) | 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 2) | 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 1) | 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 | Yes (48357 ÷ 9 = 5373) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 48357 a prime number?
No. 48357 = × 199, so it is divisible by 3.
What are the factors of 48357?
1, 3, 9, 27, 81, 199, 243, 597, 1791, 5373, 16119, 48357.
What is 48357 in binary?
1011110011100101 (hexadecimal BCE5, octal 136345).
What is the square root of 48357?
About 219.9023, exactly 9√597.
Is 48357 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48357?
48357 is a Harshad number: divisible by its digit sum 27.