The number 83500
83500 is a composite number with 24 divisors. Its prime factorisation is × × 167. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 167, 250, 334, 500, 668, 835 … 83500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83500 is composite. Its prime factorisation is
- 3
The divisors add up to 183456; without 83500 itself that is 99956, so 83500 is abundant (99956 is more than 83500). Euler's totient φ(83500) = 33200 numbers up to 83500 share no factor with it.
- 4
The digits of 83500 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83500 = 2^{2} \times 5^{3} \times 167 \]83500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 183456 |
| Euler totient φ(n) | 33200 |
| Square | 6972250000 |
| Cube | 582182875000000 |
| Square root | 288.963666 (= 10√835) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.35 × |
83500 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand five hundred |
| Binary (base 2) | 10100011000101100 |
| Octal (base 8) | 243054 |
| Hexadecimal (base 16) | 1462C |
| Base 3 | 11020112121 |
| As time | 83500 seconds = 23 h 11 min 40 s |
Is 83500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83500 ÷ 2 = 41750) | 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 | Yes (83500 ÷ 4 = 20875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83500 ÷ 5 = 16700) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83500 ÷ 10 = 8350) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83500 a prime number?
No. 83500 = × × 167, so it is divisible by 2.
What are the factors of 83500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 167, 250, 334, 500, 668, 835, 1670, 3340, 4175, 8350, 16700, 20875, 41750, 83500.
What is 83500 in binary?
10100011000101100 (hexadecimal 1462C, octal 243054).
What is the square root of 83500?
About 288.9637, exactly 10√835.
Is 83500 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 83500?
It is a composite number with 24 divisors.