The number 12125
12125 is a composite number with 8 divisors. Its prime factorisation is Ć 97. Divisors (8): 1, 5, 25, 97, 125, 485, 2425, 12125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12125 is composite. Its prime factorisation is
- 3
The divisors add up to 15288; without 12125 itself that is 3163, so 12125 is deficient (3163 is less than 12125). Euler's totient Ļ(12125) = 9600 numbers up to 12125 share no factor with it.
- 4
The digits of 12125 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12125 = 5^{3} \times 97 \]12125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15288 |
| Euler totient Ļ(n) | 9600 |
| Square | 147015625 |
| Cube | 1782564453125 |
| Square root | 110.113578 (= 5ā485) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.2125 Ć |
12125 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and twenty-five |
| Binary (base 2) | 10111101011101 |
| Octal (base 8) | 27535 |
| Hexadecimal (base 16) | 2F5D |
| Base 3 | 121122002 |
| As time | 12125 seconds = 3 h 22 min 5 s |
Is 12125 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 (12125 Ć· 5 = 2425) | 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 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 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 3) | 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 12125 a prime number?
No. 12125 = Ć 97, so it is divisible by 5.
What are the factors of 12125?
1, 5, 25, 97, 125, 485, 2425, 12125.
What is 12125 in binary?
10111101011101 (hexadecimal 2F5D, octal 27535).
What is the square root of 12125?
About 110.1136, exactly 5ā485.
Is 12125 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 12125?
It is a composite number with 8 divisors.