The number 27125
27125 is a composite number with 16 divisors. Its prime factorisation is × 7 × 31. Divisors (16): 1, 5, 7, 25, 31, 35, 125, 155, 175, 217, 775, 875, 1085, 3875, 5425, 27125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27125 is composite. Its prime factorisation is
- 3
The divisors add up to 39936; without 27125 itself that is 12811, so 27125 is deficient (12811 is less than 27125). Euler's totient φ(27125) = 18000 numbers up to 27125 share no factor with it.
- 4
The digits of 27125 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27125 = 5^{3} \times 7 \times 31 \]27125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 39936 |
| Euler totient φ(n) | 18000 |
| Square | 735765625 |
| Cube | 19957642578125 |
| Square root | 164.696691 (= 5√1085) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7125 × |
27125 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and twenty-five |
| Binary (base 2) | 110100111110101 |
| Octal (base 8) | 64765 |
| Hexadecimal (base 16) | 69F5 |
| Base 3 | 1101012122 |
| As time | 27125 seconds = 7 h 32 min 5 s |
Is 27125 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 (27125 ÷ 5 = 5425) | 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 | Yes (27125 ÷ 7 = 3875) | 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 8) | 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 10) | 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 27125 a prime number?
No. 27125 = × 7 × 31, so it is divisible by 5.
What are the factors of 27125?
1, 5, 7, 25, 31, 35, 125, 155, 175, 217, 775, 875, 1085, 3875, 5425, 27125.
What is 27125 in binary?
110100111110101 (hexadecimal 69F5, octal 64765).
What is the square root of 27125?
About 164.6967, exactly 5√1085.
Is 27125 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27125?
It is a composite number with 16 divisors.