The number 27625
27625 is a composite number with 16 divisors. Its prime factorisation is × 13 × 17. Divisors (16): 1, 5, 13, 17, 25, 65, 85, 125, 221, 325, 425, 1105, 1625, 2125, 5525, 27625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27625 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 27625 itself that is 11687, so 27625 is deficient (11687 is less than 27625). Euler's totient φ(27625) = 19200 numbers up to 27625 share no factor with it.
- 4
The digits of 27625 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27625 = 5^{3} \times 13 \times 17 \]27625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 39312 |
| Euler totient φ(n) | 19200 |
| Square | 763140625 |
| Cube | 21081759765625 |
| Square root | 166.207701 (= 5√1105) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7625 × |
27625 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and twenty-five |
| Binary (base 2) | 110101111101001 |
| Octal (base 8) | 65751 |
| Hexadecimal (base 16) | 6BE9 |
| Base 3 | 1101220011 |
| As time | 27625 seconds = 7 h 40 min 25 s |
Is 27625 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 (27625 ÷ 5 = 5525) | 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 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27625 a prime number?
No. 27625 = × 13 × 17, so it is divisible by 5.
What are the factors of 27625?
1, 5, 13, 17, 25, 65, 85, 125, 221, 325, 425, 1105, 1625, 2125, 5525, 27625.
What is 27625 in binary?
110101111101001 (hexadecimal 6BE9, octal 65751).
What is the square root of 27625?
About 166.2077, exactly 5√1105.
Is 27625 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27625?
It is a composite number with 16 divisors.