The number 80025
80025 is a composite number with 24 divisors. Its prime factorisation is 3 × × 11 × 97. Divisors (24): 1, 3, 5, 11, 15, 25, 33, 55, 75, 97, 165, 275, 291, 485, 825, 1067 … 80025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80025: a Harshad number: divisible by its digit sum 15.
- 2
80025 is composite. Its prime factorisation is
- 3
The divisors add up to 145824; without 80025 itself that is 65799, so 80025 is deficient (65799 is less than 80025). Euler's totient φ(80025) = 38400 numbers up to 80025 share no factor with it.
- 4
The digits of 80025 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80025 = 3 \times 5^{2} \times 11 \times 97 \]80025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 145824 |
| Euler totient φ(n) | 38400 |
| Square | 6404000625 |
| Cube | 512480150015625 |
| Square root | 282.886903 (= 5√3201) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.0025 × |
80025 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and twenty-five |
| Binary (base 2) | 10011100010011001 |
| Octal (base 8) | 234231 |
| Hexadecimal (base 16) | 13899 |
| Base 3 | 11001202220 |
| As time | 80025 seconds = 22 h 13 min 45 s |
Is 80025 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 | Yes (80025 ÷ 3 = 26675) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80025 ÷ 5 = 16005) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80025 ÷ 11 = 7275) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80025 a prime number?
No. 80025 = 3 × × 11 × 97, so it is divisible by 3.
What are the factors of 80025?
1, 3, 5, 11, 15, 25, 33, 55, 75, 97, 165, 275, 291, 485, 825, 1067, 1455, 2425, 3201, 5335, 7275, 16005, 26675, 80025.
What is 80025 in binary?
10011100010011001 (hexadecimal 13899, octal 234231).
What is the square root of 80025?
About 282.8869, exactly 5√3201.
Is 80025 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80025?
80025 is a Harshad number: divisible by its digit sum 15.