The number 55125
55125 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 125, 147 … 55125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55125 is composite. Its prime factorisation is
- 3
The divisors add up to 115596; without 55125 itself that is 60471, so 55125 is abundant (60471 is more than 55125). Euler's totient φ(55125) = 25200 numbers up to 55125 share no factor with it.
- 4
The digits of 55125 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55125 = 3^{2} \times 5^{3} \times 7^{2} \]55125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 115596 |
| Euler totient φ(n) | 25200 |
| Square | 3038765625 |
| Cube | 167511955078125 |
| Square root | 234.787138 (= 105√5) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5125 × |
55125 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and twenty-five |
| Binary (base 2) | 1101011101010101 |
| Octal (base 8) | 153525 |
| Hexadecimal (base 16) | D755 |
| Base 3 | 2210121200 |
| As time | 55125 seconds = 15 h 18 min 45 s |
Is 55125 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 (55125 ÷ 3 = 18375) | 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 (55125 ÷ 5 = 11025) | 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 | Yes (55125 ÷ 7 = 7875) | 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 | Yes (55125 ÷ 9 = 6125) | 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 4) | 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 55125 a prime number?
No. 55125 = × × , so it is divisible by 3.
What are the factors of 55125?
1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 125, 147, 175, 225, 245, 315, 375, 441, 525, 735, 875, 1125, 1225, 1575, 2205, 2625, 3675, 6125, 7875, 11025, 18375, 55125.
What is 55125 in binary?
1101011101010101 (hexadecimal D755, octal 153525).
What is the square root of 55125?
About 234.7871, exactly 105√5.
Is 55125 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55125?
It is a composite number with 36 divisors.