The number 40833
40833 is a composite number with 12 divisors. Its prime factorisation is × 13 × 349. Divisors (12): 1, 3, 9, 13, 39, 117, 349, 1047, 3141, 4537, 13611, 40833.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40833 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40833 is composite. Its prime factorisation is
- 3
The divisors add up to 63700; without 40833 itself that is 22867, so 40833 is deficient (22867 is less than 40833). Euler's totient φ(40833) = 25056 numbers up to 40833 share no factor with it.
- 4
The digits of 40833 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40833 = 3^{2} \times 13 \times 349 \]40833 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63700 |
| Euler totient φ(n) | 25056 |
| Square | 1667333889 |
| Cube | 68082244689537 |
| Square root | 202.071769 (= 3√4537) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0833 × |
40833 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and thirty-three |
| Binary (base 2) | 1001111110000001 |
| Octal (base 8) | 117601 |
| Hexadecimal (base 16) | 9F81 |
| Base 3 | 2002000100 |
| As time | 40833 seconds = 11 h 20 min 33 s |
Is 40833 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 (40833 ÷ 3 = 13611) | 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 2) | 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 (40833 ÷ 9 = 4537) | 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 40833 a prime number?
No. 40833 = × 13 × 349, so it is divisible by 3.
What are the factors of 40833?
1, 3, 9, 13, 39, 117, 349, 1047, 3141, 4537, 13611, 40833.
What is 40833 in binary?
1001111110000001 (hexadecimal 9F81, octal 117601).
What is the square root of 40833?
About 202.0718, exactly 3√4537.
Is 40833 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40833?
It is a composite number with 12 divisors.