The number 25125
25125 is a composite number with 16 divisors. Its prime factorisation is 3 × × 67. Divisors (16): 1, 3, 5, 15, 25, 67, 75, 125, 201, 335, 375, 1005, 1675, 5025, 8375, 25125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25125: a Harshad number: divisible by its digit sum 15.
- 2
25125 is composite. Its prime factorisation is
- 3
The divisors add up to 42432; without 25125 itself that is 17307, so 25125 is deficient (17307 is less than 25125). Euler's totient φ(25125) = 13200 numbers up to 25125 share no factor with it.
- 4
The digits of 25125 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25125 = 3 \times 5^{3} \times 67 \]25125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 42432 |
| Euler totient φ(n) | 13200 |
| Square | 631265625 |
| Cube | 15860548828125 |
| Square root | 158.508675 (= 5√1005) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.5125 × |
25125 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand one hundred and twenty-five |
| Binary (base 2) | 110001000100101 |
| Octal (base 8) | 61045 |
| Hexadecimal (base 16) | 6225 |
| Base 3 | 1021110120 |
| As time | 25125 seconds = 6 h 58 min 45 s |
Is 25125 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 | Yes (25125 ÷ 3 = 8375) | 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 (25125 ÷ 5 = 5025) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25125 a prime number?
No. 25125 = 3 × × 67, so it is divisible by 3.
What are the factors of 25125?
1, 3, 5, 15, 25, 67, 75, 125, 201, 335, 375, 1005, 1675, 5025, 8375, 25125.
What is 25125 in binary?
110001000100101 (hexadecimal 6225, octal 61045).
What is the square root of 25125?
About 158.5087, exactly 5√1005.
Is 25125 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 25125?
25125 is a Harshad number: divisible by its digit sum 15.