The number 83083
83083 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 13 × 83. Divisors (16): 1, 7, 11, 13, 77, 83, 91, 143, 581, 913, 1001, 1079, 6391, 7553, 11869, 83083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83083 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83083 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 83083 itself that is 29813, so 83083 is deficient (29813 is less than 83083). Euler's totient φ(83083) = 59040 numbers up to 83083 share no factor with it.
- 4
The digits of 83083 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83083 = 7 \times 11 \times 13 \times 83 \]
83083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 59040 |
| Square | 6902784889 |
| Cube | 573504076932787 |
| Square root | 288.241218 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.3083 × |
83083 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and eighty-three |
| Binary (base 2) | 10100010010001011 |
| Octal (base 8) | 242213 |
| Hexadecimal (base 16) | 1448B |
| Base 3 | 11012222011 |
| As time | 83083 seconds = 23 h 4 min 43 s |
Is 83083 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83083 ÷ 7 = 11869) | 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 4) | 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 | Yes (83083 ÷ 11 = 7553) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83083 a prime number?
No. 83083 = 7 × 11 × 13 × 83, so it is divisible by 7.
What are the factors of 83083?
1, 7, 11, 13, 77, 83, 91, 143, 581, 913, 1001, 1079, 6391, 7553, 11869, 83083.
What is 83083 in binary?
10100010010001011 (hexadecimal 1448B, octal 242213).
What is the square root of 83083?
About 288.2412.
Is 83083 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 83083?
It is a composite number with 16 divisors.