The number 83000
83000 is a composite number with 32 divisors. Its prime factorisation is × × 83. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 83, 100, 125, 166, 200, 250 … 83000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83000 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 83000 itself that is 113560, so 83000 is abundant (113560 is more than 83000). Euler's totient φ(83000) = 32800 numbers up to 83000 share no factor with it.
- 4
The digits of 83000 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83000 = 2^{3} \times 5^{3} \times 83 \]83000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 32800 |
| Square | 6889000000 |
| Cube | 571787000000000 |
| Square root | 288.097206 (= 10√830) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3 × |
83000 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand |
| Binary (base 2) | 10100010000111000 |
| Octal (base 8) | 242070 |
| Hexadecimal (base 16) | 14438 |
| Base 3 | 11012212002 |
| As time | 83000 seconds = 23 h 3 min 20 s |
Is 83000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83000 ÷ 2 = 41500) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83000 ÷ 4 = 20750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83000 ÷ 5 = 16600) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (83000 ÷ 8 = 10375) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83000 ÷ 10 = 8300) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83000 a prime number?
No. 83000 = × × 83, so it is divisible by 2.
What are the factors of 83000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 83, 100, 125, 166, 200, 250, 332, 415, 500, 664, 830, 1000, 1660, 2075, 3320, 4150, 8300, 10375, 16600, 20750, 41500, 83000.
What is 83000 in binary?
10100010000111000 (hexadecimal 14438, octal 242070).
What is the square root of 83000?
About 288.0972, exactly 10√830.
Is 83000 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 83000?
It is a composite number with 32 divisors.