The number 83133
83133 is a composite number with 8 divisors. Its prime factorisation is × 3079. Divisors (8): 1, 3, 9, 27, 3079, 9237, 27711, 83133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83133 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83133 is composite. Its prime factorisation is
- 3
The divisors add up to 123200; without 83133 itself that is 40067, so 83133 is deficient (40067 is less than 83133). Euler's totient φ(83133) = 55404 numbers up to 83133 share no factor with it.
- 4
The digits of 83133 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83133 = 3^{3} \times 3079 \]83133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 123200 |
| Euler totient φ(n) | 55404 |
| Square | 6911095689 |
| Cube | 574540117913637 |
| Square root | 288.327938 (= 3√9237) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3133 × |
83133 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and thirty-three |
| Binary (base 2) | 10100010010111101 |
| Octal (base 8) | 242275 |
| Hexadecimal (base 16) | 144BD |
| Base 3 | 11020001000 |
| As time | 83133 seconds = 23 h 5 min 33 s |
Is 83133 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 (83133 ÷ 3 = 27711) | 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 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 (83133 ÷ 9 = 9237) | 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 6) | 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 83133 a prime number?
No. 83133 = × 3079, so it is divisible by 3.
What are the factors of 83133?
1, 3, 9, 27, 3079, 9237, 27711, 83133.
What is 83133 in binary?
10100010010111101 (hexadecimal 144BD, octal 242275).
What is the square root of 83133?
About 288.3279, exactly 3√9237.
Is 83133 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 83133?
It is a composite number with 8 divisors.