The number 12747
12747 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 607. Divisors (8): 1, 3, 7, 21, 607, 1821, 4249, 12747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12747: a Harshad number: divisible by its digit sum 21.
- 2
12747 is composite. Its prime factorisation is
- 3
The divisors add up to 19456; without 12747 itself that is 6709, so 12747 is deficient (6709 is less than 12747). Euler's totient φ(12747) = 7272 numbers up to 12747 share no factor with it.
- 4
The digits of 12747 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12747 = 3 \times 7 \times 607 \]
12747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19456 |
| Euler totient φ(n) | 7272 |
| Square | 162486009 |
| Cube | 2071209156723 |
| Square root | 112.902613 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.2747 × |
12747 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and forty-seven |
| Binary (base 2) | 11000111001011 |
| Octal (base 8) | 30713 |
| Hexadecimal (base 16) | 31CB |
| Base 3 | 122111010 |
| As time | 12747 seconds = 3 h 32 min 27 s |
Is 12747 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 (12747 ÷ 3 = 4249) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (12747 ÷ 7 = 1821) | 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 3) | 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 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12747 a prime number?
No. 12747 = 3 × 7 × 607, so it is divisible by 3.
What are the factors of 12747?
1, 3, 7, 21, 607, 1821, 4249, 12747.
What is 12747 in binary?
11000111001011 (hexadecimal 31CB, octal 30713).
What is the square root of 12747?
About 112.9026.
Is 12747 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 12747?
12747 is a Harshad number: divisible by its digit sum 21.