The number 75025
75025 is a Fibonacci number. Its prime factorisation is Ć 3001. Divisors (6): 1, 5, 25, 3001, 15005, 75025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75025: a Fibonacci number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75025 is composite. Its prime factorisation is
- 3
The divisors add up to 93062; without 75025 itself that is 18037, so 75025 is deficient (18037 is less than 75025). Euler's totient Ļ(75025) = 60000 numbers up to 75025 share no factor with it.
- 4
The digits of 75025 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75025 = 5^{2} \times 3001 \]75025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 93062 |
| Euler totient Ļ(n) | 60000 |
| Square | 5628750625 |
| Cube | 422297015640625 |
| Square root | 273.906918 (= 5ā3001) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.5025 Ć |
75025 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and twenty-five |
| Binary (base 2) | 10010010100010001 |
| Octal (base 8) | 222421 |
| Hexadecimal (base 16) | 12511 |
| Base 3 | 10210220201 |
| As time | 75025 seconds = 20 h 50 min 25 s |
Is 75025 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 | No (remainder 1) | 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 (75025 Ć· 5 = 15005) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75025 a prime number?
No. 75025 = Ć 3001, so it is divisible by 5.
What are the factors of 75025?
1, 5, 25, 3001, 15005, 75025.
What is 75025 in binary?
10010010100010001 (hexadecimal 12511, octal 222421).
What is the square root of 75025?
About 273.9069, exactly 5ā3001.
Is 75025 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 75025?
75025 is a Fibonacci number; a happy number: repeatedly adding the squares of its digits reaches 1.