The number 80500
80500 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 23. Divisors (48): 1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92 … 80500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80500 is composite. Its prime factorisation is
- 3
The divisors add up to 209664; without 80500 itself that is 129164, so 80500 is abundant (129164 is more than 80500). Euler's totient φ(80500) = 26400 numbers up to 80500 share no factor with it.
- 4
The digits of 80500 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80500 = 2^{2} \times 5^{3} \times 7 \times 23 \]80500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 209664 |
| Euler totient φ(n) | 26400 |
| Square | 6480250000 |
| Cube | 521660125000000 |
| Square root | 283.725219 (= 10√805) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.05 × |
80500 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand five hundred |
| Binary (base 2) | 10011101001110100 |
| Octal (base 8) | 235164 |
| Hexadecimal (base 16) | 13A74 |
| Base 3 | 11002102111 |
| As time | 80500 seconds = 22 h 21 min 40 s |
Is 80500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80500 ÷ 2 = 40250) | 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 (80500 ÷ 4 = 20125) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80500 ÷ 5 = 16100) | 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 | Yes (80500 ÷ 7 = 11500) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80500 ÷ 10 = 8050) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 80500 a prime number?
No. 80500 = × × 7 × 23, so it is divisible by 2.
What are the factors of 80500?
1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92, 100, 115, 125, 140, 161, 175, 230, 250, 322, 350, 460, 500, 575, 644, 700, 805, 875, 1150, 1610, 1750, 2300, 2875, 3220, 3500, 4025, 5750, 8050, 11500, 16100, 20125, 40250, 80500.
What is 80500 in binary?
10011101001110100 (hexadecimal 13A74, octal 235164).
What is the square root of 80500?
About 283.7252, exactly 10√805.
Is 80500 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 80500?
It is a composite number with 48 divisors.