The number 2125
2125 is a composite number with 8 divisors. Its prime factorisation is Ć 17. Divisors (8): 1, 5, 17, 25, 85, 125, 425, 2125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2125 is composite. Its prime factorisation is
- 3
The divisors add up to 2808; without 2125 itself that is 683, so 2125 is deficient (683 is less than 2125). Euler's totient Ļ(2125) = 1600 numbers up to 2125 share no factor with it.
- 4
The digits of 2125 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2125 = 5^{3} \times 17 \]2125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2808 |
| Euler totient Ļ(n) | 1600 |
| Square | 4515625 |
| Cube | 9595703125 |
| Square root | 46.097722 (= 5ā85) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 2.125 Ć |
2125 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and twenty-five |
| Roman numerals | MMCXXV |
| Binary (base 2) | 100001001101 |
| Octal (base 8) | 4115 |
| Hexadecimal (base 16) | 84D |
| Base 3 | 2220201 |
| As time | 2125 seconds = 35 min 25 s |
Is 2125 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 (2125 Ć· 5 = 425) | 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 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 5) | 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 | No (remainder 2) | 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 2125 a prime number?
No. 2125 = Ć 17, so it is divisible by 5.
What are the factors of 2125?
1, 5, 17, 25, 85, 125, 425, 2125.
What is 2125 in binary?
100001001101 (hexadecimal 84D, octal 4115).
What is the square root of 2125?
About 46.0977, exactly 5ā85.
What is 2125 in Roman numerals?
MMCXXV.
Is 2125 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2125?
It is a composite number with 8 divisors.