The number 15125
15125 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 5, 11, 25, 55, 121, 125, 275, 605, 1375, 3025, 15125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15125 is composite. Its prime factorisation is
- 3
The divisors add up to 20748; without 15125 itself that is 5623, so 15125 is deficient (5623 is less than 15125). Euler's totient φ(15125) = 11000 numbers up to 15125 share no factor with it.
- 4
The digits of 15125 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15125 = 5^{3} \times 11^{2} \]15125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 20748 |
| Euler totient φ(n) | 11000 |
| Square | 228765625 |
| Cube | 3460080078125 |
| Square root | 122.983739 (= 55√5) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.5125 × |
15125 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand one hundred and twenty-five |
| Binary (base 2) | 11101100010101 |
| Octal (base 8) | 35425 |
| Hexadecimal (base 16) | 3B15 |
| Base 3 | 202202012 |
| As time | 15125 seconds = 4 h 12 min 5 s |
Is 15125 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 (15125 ÷ 5 = 3025) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (15125 ÷ 11 = 1375) | 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 15125 a prime number?
No. 15125 = × , so it is divisible by 5.
What are the factors of 15125?
1, 5, 11, 25, 55, 121, 125, 275, 605, 1375, 3025, 15125.
What is 15125 in binary?
11101100010101 (hexadecimal 3B15, octal 35425).
What is the square root of 15125?
About 122.9837, exactly 55√5.
Is 15125 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 15125?
It is a composite number with 12 divisors.