The number 3025
3025 is a perfect square (55²). Its prime factorisation is × . Divisors (9): 1, 5, 11, 25, 55, 121, 275, 605, 3025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3025: a perfect square (55²).
- 2
3025 is composite. Its prime factorisation is
- 3
The divisors add up to 4123; without 3025 itself that is 1098, so 3025 is deficient (1098 is less than 3025). Euler's totient φ(3025) = 2200 numbers up to 3025 share no factor with it.
- 4
The digits of 3025 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3025 = 5^{2} \times 11^{2} \]3025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 4123 |
| Euler totient φ(n) | 2200 |
| Square | 9150625 |
| Cube | 27680640625 |
| Square root | 55 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 3.025 × |
| Perfect power |
3025 in other forms
| Form | Value |
|---|---|
| In words | three thousand and twenty-five |
| Roman numerals | MMMXXV |
| Binary (base 2) | 101111010001 |
| Octal (base 8) | 5721 |
| Hexadecimal (base 16) | BD1 |
| Base 3 | 11011001 |
| As time | 3025 seconds = 50 min 25 s |
Is 3025 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 (3025 ÷ 5 = 605) | 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 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 | No (remainder 1) | 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 (3025 ÷ 11 = 275) | 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 3025 a prime number?
No. 3025 = × , so it is divisible by 5.
What are the factors of 3025?
1, 5, 11, 25, 55, 121, 275, 605, 3025.
What is 3025 in binary?
101111010001 (hexadecimal BD1, octal 5721).
What is the square root of 3025?
55, because 55 × 55 = 3025.
What is 3025 in Roman numerals?
MMMXXV.
Is 3025 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3025?
3025 is a perfect square (55²).