The number 5625
5625 is a perfect square (75²). Its prime factorisation is × . Divisors (15): 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5625: a perfect square (75²).
- 2
5625 is composite. Its prime factorisation is
- 3
The divisors add up to 10153; without 5625 itself that is 4528, so 5625 is deficient (4528 is less than 5625). Euler's totient φ(5625) = 3000 numbers up to 5625 share no factor with it.
- 4
The digits of 5625 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5625 = 3^{2} \times 5^{4} \]5625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 10153 |
| Euler totient φ(n) | 3000 |
| Square | 31640625 |
| Cube | 177978515625 |
| Square root | 75 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.625 × |
| Perfect power |
5625 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and twenty-five |
| Binary (base 2) | 1010111111001 |
| Octal (base 8) | 12771 |
| Hexadecimal (base 16) | 15F9 |
| Base 3 | 21201100 |
| As time | 5625 seconds = 1 h 33 min 45 s |
Is 5625 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 (5625 ÷ 3 = 1875) | 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 (5625 ÷ 5 = 1125) | 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 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 | Yes (5625 ÷ 9 = 625) | 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 4) | 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 5625 a prime number?
No. 5625 = × , so it is divisible by 3.
What are the factors of 5625?
1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625.
What is 5625 in binary?
1010111111001 (hexadecimal 15F9, octal 12771).
What is the square root of 5625?
75, because 75 × 75 = 5625.
Is 5625 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5625?
5625 is a perfect square (75²).