The number 62500
62500 is a perfect square (250²). Its prime factorisation is × . Divisors (21): 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125 … 62500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62500: a perfect square (250²).
- 2
62500 is composite. Its prime factorisation is
- 3
The divisors add up to 136717; without 62500 itself that is 74217, so 62500 is abundant (74217 is more than 62500). Euler's totient φ(62500) = 25000 numbers up to 62500 share no factor with it.
- 4
The digits of 62500 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62500 = 2^{2} \times 5^{6} \]62500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 21 |
| Sum of divisors | 136717 |
| Euler totient φ(n) | 25000 |
| Square | 3906250000 |
| Cube | 244140625000000 |
| Square root | 250 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.25 × |
| Perfect power |
62500 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand five hundred |
| Binary (base 2) | 1111010000100100 |
| Octal (base 8) | 172044 |
| Hexadecimal (base 16) | F424 |
| Base 3 | 10011201211 |
| As time | 62500 seconds = 17 h 21 min 40 s |
Is 62500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62500 ÷ 2 = 31250) | 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 (62500 ÷ 4 = 15625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62500 ÷ 5 = 12500) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (62500 ÷ 10 = 6250) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 62500 a prime number?
No. 62500 = × , so it is divisible by 2.
What are the factors of 62500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500, 15625, 31250, 62500.
What is 62500 in binary?
1111010000100100 (hexadecimal F424, octal 172044).
What is the square root of 62500?
250, because 250 × 250 = 62500.
Is 62500 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 62500?
62500 is a perfect square (250²).