The number 12500
12500 is a composite number with 18 divisors. Its prime factorisation is × . Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125 … 12500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12500 is composite. Its prime factorisation is
- 3
The divisors add up to 27342; without 12500 itself that is 14842, so 12500 is abundant (14842 is more than 12500). Euler's totient φ(12500) = 5000 numbers up to 12500 share no factor with it.
- 4
The digits of 12500 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12500 = 2^{2} \times 5^{5} \]12500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 27342 |
| Euler totient φ(n) | 5000 |
| Square | 156250000 |
| Cube | 1953125000000 |
| Square root | 111.803399 (= 50√5) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.25 × |
12500 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred |
| Binary (base 2) | 11000011010100 |
| Octal (base 8) | 30324 |
| Hexadecimal (base 16) | 30D4 |
| Base 3 | 122010222 |
| As time | 12500 seconds = 3 h 28 min 20 s |
Is 12500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12500 ÷ 2 = 6250) | 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 | Yes (12500 ÷ 4 = 3125) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12500 ÷ 5 = 2500) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12500 ÷ 10 = 1250) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12500 a prime number?
No. 12500 = × , so it is divisible by 2.
What are the factors of 12500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500.
What is 12500 in binary?
11000011010100 (hexadecimal 30D4, octal 30324).
What is the square root of 12500?
About 111.8034, exactly 50√5.
Is 12500 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 12500?
It is a composite number with 18 divisors.