The number 27250
27250 is a composite number with 16 divisors. Its prime factorisation is 2 × × 109. Divisors (16): 1, 2, 5, 10, 25, 50, 109, 125, 218, 250, 545, 1090, 2725, 5450, 13625, 27250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27250: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27250 is composite. Its prime factorisation is
- 3
The divisors add up to 51480; without 27250 itself that is 24230, so 27250 is deficient (24230 is less than 27250). Euler's totient φ(27250) = 10800 numbers up to 27250 share no factor with it.
- 4
The digits of 27250 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27250 = 2 \times 5^{3} \times 109 \]27250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51480 |
| Euler totient φ(n) | 10800 |
| Square | 742562500 |
| Cube | 20234828125000 |
| Square root | 165.075740 (= 5√1090) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.725 × |
27250 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and fifty |
| Binary (base 2) | 110101001110010 |
| Octal (base 8) | 65162 |
| Hexadecimal (base 16) | 6A72 |
| Base 3 | 1101101021 |
| As time | 27250 seconds = 7 h 34 min 10 s |
Is 27250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27250 ÷ 2 = 13625) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27250 ÷ 5 = 5450) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27250 ÷ 10 = 2725) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27250 a prime number?
No. 27250 = 2 × × 109, so it is divisible by 2.
What are the factors of 27250?
1, 2, 5, 10, 25, 50, 109, 125, 218, 250, 545, 1090, 2725, 5450, 13625, 27250.
What is 27250 in binary?
110101001110010 (hexadecimal 6A72, octal 65162).
What is the square root of 27250?
About 165.0757, exactly 5√1090.
Is 27250 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27250?
27250 is a happy number: repeatedly adding the squares of its digits reaches 1.