The number 80250
80250 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × × 107. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 107, 125, 150, 214, 250 … 80250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80250: a Harshad number: divisible by its digit sum 15.
- 2
80250 is composite. Its prime factorisation is
- 3
The divisors add up to 202176; without 80250 itself that is 121926, so 80250 is abundant (121926 is more than 80250). Euler's totient φ(80250) = 21200 numbers up to 80250 share no factor with it.
- 4
The digits of 80250 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80250 = 2 \times 3 \times 5^{3} \times 107 \]80250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 202176 |
| Euler totient φ(n) | 21200 |
| Square | 6440062500 |
| Cube | 516815015625000 |
| Square root | 283.284309 (= 5√3210) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 8.025 × |
80250 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and fifty |
| Binary (base 2) | 10011100101111010 |
| Octal (base 8) | 234572 |
| Hexadecimal (base 16) | 1397A |
| Base 3 | 11002002020 |
| As time | 80250 seconds = 22 h 17 min 30 s |
Is 80250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80250 ÷ 2 = 40125) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80250 ÷ 3 = 26750) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80250 ÷ 5 = 16050) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80250 ÷ 6 = 13375) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 | Yes (80250 ÷ 10 = 8025) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80250 a prime number?
No. 80250 = 2 × 3 × × 107, so it is divisible by 2.
What are the factors of 80250?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 107, 125, 150, 214, 250, 321, 375, 535, 642, 750, 1070, 1605, 2675, 3210, 5350, 8025, 13375, 16050, 26750, 40125, 80250.
What is 80250 in binary?
10011100101111010 (hexadecimal 1397A, octal 234572).
What is the square root of 80250?
About 283.2843, exactly 5√3210.
Is 80250 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80250?
80250 is a Harshad number: divisible by its digit sum 15.