The number 75225
75225 is a composite number with 24 divisors. Its prime factorisation is 3 × × 17 × 59. Divisors (24): 1, 3, 5, 15, 17, 25, 51, 59, 75, 85, 177, 255, 295, 425, 885, 1003 … 75225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75225 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 75225 itself that is 58695, so 75225 is deficient (58695 is less than 75225). Euler's totient φ(75225) = 37120 numbers up to 75225 share no factor with it.
- 4
The digits of 75225 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75225 = 3 \times 5^{2} \times 17 \times 59 \]75225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 37120 |
| Square | 5658800625 |
| Cube | 425683277015625 |
| Square root | 274.271763 (= 5√3009) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5225 × |
75225 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand two hundred and twenty-five |
| Binary (base 2) | 10010010111011001 |
| Octal (base 8) | 222731 |
| Hexadecimal (base 16) | 125D9 |
| Base 3 | 10211012010 |
| As time | 75225 seconds = 20 h 53 min 45 s |
Is 75225 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 (75225 ÷ 3 = 25075) | 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 (75225 ÷ 5 = 15045) | 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 3) | 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 3) | 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 7) | 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 75225 a prime number?
No. 75225 = 3 × × 17 × 59, so it is divisible by 3.
What are the factors of 75225?
1, 3, 5, 15, 17, 25, 51, 59, 75, 85, 177, 255, 295, 425, 885, 1003, 1275, 1475, 3009, 4425, 5015, 15045, 25075, 75225.
What is 75225 in binary?
10010010111011001 (hexadecimal 125D9, octal 222731).
What is the square root of 75225?
About 274.2718, exactly 5√3009.
Is 75225 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 75225?
It is a composite number with 24 divisors.