The number 75825
75825 is a composite number with 18 divisors. Its prime factorisation is × × 337. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 225, 337, 1011, 1685, 3033, 5055, 8425, 15165 … 75825.
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How to work it out
- 1
What is special about 75825: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75825 is composite. Its prime factorisation is
- 3
The divisors add up to 136214; without 75825 itself that is 60389, so 75825 is deficient (60389 is less than 75825). Euler's totient φ(75825) = 40320 numbers up to 75825 share no factor with it.
- 4
The digits of 75825 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75825 = 3^{2} \times 5^{2} \times 337 \]75825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 136214 |
| Euler totient φ(n) | 40320 |
| Square | 5749430625 |
| Cube | 435950577140625 |
| Square root | 275.363396 (= 15√337) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5825 × |
75825 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand eight hundred and twenty-five |
| Binary (base 2) | 10010100000110001 |
| Octal (base 8) | 224061 |
| Hexadecimal (base 16) | 12831 |
| Base 3 | 10212000100 |
| As time | 75825 seconds = 21 h 3 min 45 s |
Is 75825 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 (75825 ÷ 3 = 25275) | 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 (75825 ÷ 5 = 15165) | 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 | Yes (75825 ÷ 9 = 8425) | 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 2) | 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 75825 a prime number?
No. 75825 = × × 337, so it is divisible by 3.
What are the factors of 75825?
1, 3, 5, 9, 15, 25, 45, 75, 225, 337, 1011, 1685, 3033, 5055, 8425, 15165, 25275, 75825.
What is 75825 in binary?
10010100000110001 (hexadecimal 12831, octal 224061).
What is the square root of 75825?
About 275.3634, exactly 15√337.
Is 75825 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 75825?
75825 is a happy number: repeatedly adding the squares of its digits reaches 1.