The number 27505
27505 is a composite number with 4 divisors. Its prime factorisation is 5 × 5501. Divisors (4): 1, 5, 5501, 27505.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27505: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 5501, the product of two primes.
- 2
27505 is composite. Its prime factorisation is
- 3
The divisors add up to 33012; without 27505 itself that is 5507, so 27505 is deficient (5507 is less than 27505). Euler's totient φ(27505) = 22000 numbers up to 27505 share no factor with it.
- 4
The digits of 27505 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27505 = 5 \times 5501 \]
27505 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33012 |
| Euler totient φ(n) | 22000 |
| Square | 756525025 |
| Cube | 20808220812625 |
| Square root | 165.846314 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7505 × |
27505 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred and five |
| Binary (base 2) | 110101101110001 |
| Octal (base 8) | 65561 |
| Hexadecimal (base 16) | 6B71 |
| Base 3 | 1101201201 |
| As time | 27505 seconds = 7 h 38 min 25 s |
Is 27505 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 (27505 ÷ 5 = 5501) | 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 2) | 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 1) | 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 5) | 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 27505 a prime number?
No. 27505 = 5 × 5501, so it is divisible by 5.
What are the factors of 27505?
1, 5, 5501, 27505.
What is 27505 in binary?
110101101110001 (hexadecimal 6B71, octal 65561).
What is the square root of 27505?
About 165.8463.
Is 27505 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27505?
27505 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 5501, the product of two primes.