The number 12737
12737 is a composite number with 4 divisors. Its prime factorisation is 47 × 271. Divisors (4): 1, 47, 271, 12737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12737: a semiprime: 47 × 271, the product of two primes.
- 2
12737 is composite. Its prime factorisation is
- 3
The divisors add up to 13056; without 12737 itself that is 319, so 12737 is deficient (319 is less than 12737). Euler's totient φ(12737) = 12420 numbers up to 12737 share no factor with it.
- 4
The digits of 12737 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12737 = 47 \times 271 \]
12737 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13056 |
| Euler totient φ(n) | 12420 |
| Square | 162231169 |
| Cube | 2066338399553 |
| Square root | 112.858318 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.2737 × |
12737 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and thirty-seven |
| Binary (base 2) | 11000111000001 |
| Octal (base 8) | 30701 |
| Hexadecimal (base 16) | 31C1 |
| Base 3 | 122110202 |
| As time | 12737 seconds = 3 h 32 min 17 s |
Is 12737 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 1) | 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 4) | 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 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12737 a prime number?
No. 12737 = 47 × 271, so it is divisible by 47.
What are the factors of 12737?
1, 47, 271, 12737.
What is 12737 in binary?
11000111000001 (hexadecimal 31C1, octal 30701).
What is the square root of 12737?
About 112.8583.
Is 12737 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 12737?
12737 is a semiprime: 47 × 271, the product of two primes.