The number 12727
12727 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 89. Divisors (8): 1, 11, 13, 89, 143, 979, 1157, 12727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12727 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 12727 itself that is 2393, so 12727 is deficient (2393 is less than 12727). Euler's totient φ(12727) = 10560 numbers up to 12727 share no factor with it.
- 4
The digits of 12727 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12727 = 11 \times 13 \times 89 \]
12727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 10560 |
| Square | 161976529 |
| Cube | 2061475284583 |
| Square root | 112.814006 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.2727 × |
12727 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and twenty-seven |
| Binary (base 2) | 11000110110111 |
| Octal (base 8) | 30667 |
| Hexadecimal (base 16) | 31B7 |
| Base 3 | 122110101 |
| As time | 12727 seconds = 3 h 32 min 7 s |
Is 12727 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (12727 ÷ 11 = 1157) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12727 a prime number?
No. 12727 = 11 × 13 × 89, so it is divisible by 11.
What are the factors of 12727?
1, 11, 13, 89, 143, 979, 1157, 12727.
What is 12727 in binary?
11000110110111 (hexadecimal 31B7, octal 30667).
What is the square root of 12727?
About 112.8140.
Is 12727 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 12727?
It is a composite number with 8 divisors.