The number 20125
20125 is a composite number with 16 divisors. Its prime factorisation is × 7 × 23. Divisors (16): 1, 5, 7, 23, 25, 35, 115, 125, 161, 175, 575, 805, 875, 2875, 4025, 20125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20125 is composite. Its prime factorisation is
- 3
The divisors add up to 29952; without 20125 itself that is 9827, so 20125 is deficient (9827 is less than 20125). Euler's totient φ(20125) = 13200 numbers up to 20125 share no factor with it.
- 4
The digits of 20125 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 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20125 = 5^{3} \times 7 \times 23 \]20125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29952 |
| Euler totient φ(n) | 13200 |
| Square | 405015625 |
| Cube | 8150939453125 |
| Square root | 141.862610 (= 5√805) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.0125 × |
20125 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and twenty-five |
| Binary (base 2) | 100111010011101 |
| Octal (base 8) | 47235 |
| Hexadecimal (base 16) | 4E9D |
| Base 3 | 1000121101 |
| As time | 20125 seconds = 5 h 35 min 25 s |
Is 20125 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 (20125 ÷ 5 = 4025) | 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 | Yes (20125 ÷ 7 = 2875) | 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 6) | 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 20125 a prime number?
No. 20125 = × 7 × 23, so it is divisible by 5.
What are the factors of 20125?
1, 5, 7, 23, 25, 35, 115, 125, 161, 175, 575, 805, 875, 2875, 4025, 20125.
What is 20125 in binary?
100111010011101 (hexadecimal 4E9D, octal 47235).
What is the square root of 20125?
About 141.8626, exactly 5√805.
Is 20125 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20125?
It is a composite number with 16 divisors.