The number 2500
2500 is a perfect square (50²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2500: a perfect square (50²).
- 2
2500 is composite. Its prime factorisation is
- 3
The divisors add up to 5467; without 2500 itself that is 2967, so 2500 is abundant (2967 is more than 2500). Euler's totient φ(2500) = 1000 numbers up to 2500 share no factor with it.
- 4
The digits of 2500 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2500 = 2^{2} \times 5^{4} \]2500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 5467 |
| Euler totient φ(n) | 1000 |
| Square | 6250000 |
| Cube | 15625000000 |
| Square root | 50 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.5 × |
| Perfect power |
2500 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred |
| Roman numerals | MMD |
| Binary (base 2) | 100111000100 |
| Octal (base 8) | 4704 |
| Hexadecimal (base 16) | 9C4 |
| Base 3 | 10102121 |
| As time | 2500 seconds = 41 min 40 s |
Is 2500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2500 ÷ 2 = 1250) | 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 | Yes (2500 ÷ 4 = 625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2500 ÷ 5 = 500) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | 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 | Yes (2500 ÷ 10 = 250) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2500 a prime number?
No. 2500 = × , so it is divisible by 2.
What are the factors of 2500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
What is 2500 in binary?
100111000100 (hexadecimal 9C4, octal 4704).
What is the square root of 2500?
50, because 50 × 50 = 2500.
What is 2500 in Roman numerals?
MMD.
Is 2500 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 2500?
2500 is a perfect square (50²).