The number 48033
48033 is a composite number with 10 divisors. Its prime factorisation is × 593. Divisors (10): 1, 3, 9, 27, 81, 593, 1779, 5337, 16011, 48033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48033 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48033 is composite. Its prime factorisation is
- 3
The divisors add up to 71874; without 48033 itself that is 23841, so 48033 is deficient (23841 is less than 48033). Euler's totient φ(48033) = 31968 numbers up to 48033 share no factor with it.
- 4
The digits of 48033 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48033 = 3^{4} \times 593 \]48033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 71874 |
| Euler totient φ(n) | 31968 |
| Square | 2307169089 |
| Cube | 110820252851937 |
| Square root | 219.164322 (= 9√593) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8033 × |
48033 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and thirty-three |
| Binary (base 2) | 1011101110100001 |
| Octal (base 8) | 135641 |
| Hexadecimal (base 16) | BBA1 |
| Base 3 | 2102220000 |
| As time | 48033 seconds = 13 h 20 min 33 s |
Is 48033 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 (48033 ÷ 3 = 16011) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48033 ÷ 9 = 5337) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48033 a prime number?
No. 48033 = × 593, so it is divisible by 3.
What are the factors of 48033?
1, 3, 9, 27, 81, 593, 1779, 5337, 16011, 48033.
What is 48033 in binary?
1011101110100001 (hexadecimal BBA1, octal 135641).
What is the square root of 48033?
About 219.1643, exactly 9√593.
Is 48033 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48033?
It is a composite number with 10 divisors.