The number 12767
12767 is a composite number with 4 divisors. Its prime factorisation is 17 × 751. Divisors (4): 1, 17, 751, 12767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12767: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 751, the product of two primes.
- 2
12767 is composite. Its prime factorisation is
- 3
The divisors add up to 13536; without 12767 itself that is 769, so 12767 is deficient (769 is less than 12767). Euler's totient φ(12767) = 12000 numbers up to 12767 share no factor with it.
- 4
The digits of 12767 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12767 = 17 \times 751 \]
12767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13536 |
| Euler totient φ(n) | 12000 |
| Square | 162996289 |
| Cube | 2080973621663 |
| Square root | 112.991150 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 200 |
| Scientific notation | 1.2767 × |
12767 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and sixty-seven |
| Binary (base 2) | 11000111011111 |
| Octal (base 8) | 30737 |
| Hexadecimal (base 16) | 31DF |
| Base 3 | 122111212 |
| As time | 12767 seconds = 3 h 32 min 47 s |
Is 12767 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 2) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12767 a prime number?
No. 12767 = 17 × 751, so it is divisible by 17.
What are the factors of 12767?
1, 17, 751, 12767.
What is 12767 in binary?
11000111011111 (hexadecimal 31DF, octal 30737).
What is the square root of 12767?
About 112.9912.
Is 12767 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 12767?
12767 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 751, the product of two primes.