The number 27202
27202 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 29 × 67. Divisors (16): 1, 2, 7, 14, 29, 58, 67, 134, 203, 406, 469, 938, 1943, 3886, 13601, 27202.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27202 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27202 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 27202 itself that is 21758, so 27202 is deficient (21758 is less than 27202). Euler's totient φ(27202) = 11088 numbers up to 27202 share no factor with it.
- 4
The digits of 27202 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27202 = 2 \times 7 \times 29 \times 67 \]
27202 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 11088 |
| Square | 739948804 |
| Cube | 20128087366408 |
| Square root | 164.930288 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7202 × |
27202 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and two |
| Binary (base 2) | 110101001000010 |
| Octal (base 8) | 65102 |
| Hexadecimal (base 16) | 6A42 |
| Base 3 | 1101022111 |
| As time | 27202 seconds = 7 h 33 min 22 s |
Is 27202 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27202 ÷ 2 = 13601) | 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 | No (remainder 2) | 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 | Yes (27202 ÷ 7 = 3886) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27202 a prime number?
No. 27202 = 2 × 7 × 29 × 67, so it is divisible by 2.
What are the factors of 27202?
1, 2, 7, 14, 29, 58, 67, 134, 203, 406, 469, 938, 1943, 3886, 13601, 27202.
What is 27202 in binary?
110101001000010 (hexadecimal 6A42, octal 65102).
What is the square root of 27202?
About 164.9303.
Is 27202 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27202?
It is a composite number with 16 divisors.