The number 3125
3125 is a perfect power (). Its prime factorisation is . Divisors (6): 1, 5, 25, 125, 625, 3125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3125: a perfect power ().
- 2
3125 is composite. Its prime factorisation is
- 3
The divisors add up to 3906; without 3125 itself that is 781, so 3125 is deficient (781 is less than 3125). Euler's totient ฯ(3125) = 2500 numbers up to 3125 share no factor with it.
- 4
The digits of 3125 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3125 = 5^{5} \]3125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3906 |
| Euler totient ฯ(n) | 2500 |
| Square | 9765625 |
| Cube | 30517578125 |
| Square root | 55.901699 (= 25โ5) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.125 ร |
| Perfect power |
3125 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and twenty-five |
| Roman numerals | MMMCXXV |
| Binary (base 2) | 110000110101 |
| Octal (base 8) | 6065 |
| Hexadecimal (base 16) | C35 |
| Base 3 | 11021202 |
| As time | 3125 seconds = 52 min 5 s |
Is 3125 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 2) | 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 (3125 รท 5 = 625) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3125 a prime number?
No. 3125 = , so it is divisible by 5.
What are the factors of 3125?
1, 5, 25, 125, 625, 3125.
What is 3125 in binary?
110000110101 (hexadecimal C35, octal 6065).
What is the square root of 3125?
About 55.9017, exactly 25โ5.
What is 3125 in Roman numerals?
MMMCXXV.
Is 3125 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3125?
3125 is a perfect power ().