The number 75625
75625 is a perfect square (275²). Its prime factorisation is × . Divisors (15): 1, 5, 11, 25, 55, 121, 125, 275, 605, 625, 1375, 3025, 6875, 15125, 75625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75625: a perfect square (275²); a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.
- 2
75625 is composite. Its prime factorisation is
- 3
The divisors add up to 103873; without 75625 itself that is 28248, so 75625 is deficient (28248 is less than 75625). Euler's totient φ(75625) = 55000 numbers up to 75625 share no factor with it.
- 4
The digits of 75625 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75625 = 5^{4} \times 11^{2} \]75625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 103873 |
| Euler totient φ(n) | 55000 |
| Square | 5719140625 |
| Cube | 432510009765625 |
| Square root | 275 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5625 × |
| Perfect power |
75625 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand six hundred and twenty-five |
| Binary (base 2) | 10010011101101001 |
| Octal (base 8) | 223551 |
| Hexadecimal (base 16) | 12769 |
| Base 3 | 10211201221 |
| As time | 75625 seconds = 21 h 0 min 25 s |
Is 75625 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 (75625 ÷ 5 = 15125) | 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 4) | 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 7) | 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 (75625 ÷ 11 = 6875) | 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 75625 a prime number?
No. 75625 = × , so it is divisible by 5.
What are the factors of 75625?
1, 5, 11, 25, 55, 121, 125, 275, 605, 625, 1375, 3025, 6875, 15125, 75625.
What is 75625 in binary?
10010011101101001 (hexadecimal 12769, octal 223551).
What is the square root of 75625?
275, because 275 × 275 = 75625.
Is 75625 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 75625?
75625 is a perfect square (275²); a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.