The number 27201
27201 is a composite number with 4 divisors. Its prime factorisation is 3 × 9067. Divisors (4): 1, 3, 9067, 27201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27201: a semiprime: 3 × 9067, the product of two primes.
- 2
27201 is composite. Its prime factorisation is
- 3
The divisors add up to 36272; without 27201 itself that is 9071, so 27201 is deficient (9071 is less than 27201). Euler's totient φ(27201) = 18132 numbers up to 27201 share no factor with it.
- 4
The digits of 27201 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27201 = 3 \times 9067 \]
27201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36272 |
| Euler totient φ(n) | 18132 |
| Square | 739894401 |
| Cube | 20125867601601 |
| Square root | 164.927257 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7201 × |
27201 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and one |
| Binary (base 2) | 110101001000001 |
| Octal (base 8) | 65101 |
| Hexadecimal (base 16) | 6A41 |
| Base 3 | 1101022110 |
| As time | 27201 seconds = 7 h 33 min 21 s |
Is 27201 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 (27201 ÷ 3 = 9067) | 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 | No (remainder 1) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 27201 a prime number?
No. 27201 = 3 × 9067, so it is divisible by 3.
What are the factors of 27201?
1, 3, 9067, 27201.
What is 27201 in binary?
110101001000001 (hexadecimal 6A41, octal 65101).
What is the square root of 27201?
About 164.9273.
Is 27201 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 27201?
27201 is a semiprime: 3 × 9067, the product of two primes.