The number 40083
40083 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 431. Divisors (8): 1, 3, 31, 93, 431, 1293, 13361, 40083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40083 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40083 is composite. Its prime factorisation is
- 3
The divisors add up to 55296; without 40083 itself that is 15213, so 40083 is deficient (15213 is less than 40083). Euler's totient φ(40083) = 25800 numbers up to 40083 share no factor with it.
- 4
The digits of 40083 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40083 = 3 \times 31 \times 431 \]
40083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55296 |
| Euler totient φ(n) | 25800 |
| Square | 1606646889 |
| Cube | 64399227251787 |
| Square root | 200.207392 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0083 × |
40083 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and eighty-three |
| Binary (base 2) | 1001110010010011 |
| Octal (base 8) | 116223 |
| Hexadecimal (base 16) | 9C93 |
| Base 3 | 2000222120 |
| As time | 40083 seconds = 11 h 8 min 3 s |
Is 40083 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 (40083 ÷ 3 = 13361) | 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 | 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 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 10) | 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 40083 a prime number?
No. 40083 = 3 × 31 × 431, so it is divisible by 3.
What are the factors of 40083?
1, 3, 31, 93, 431, 1293, 13361, 40083.
What is 40083 in binary?
1001110010010011 (hexadecimal 9C93, octal 116223).
What is the square root of 40083?
About 200.2074.
Is 40083 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40083?
It is a composite number with 8 divisors.