The number 12047
12047 is a composite number with 4 divisors. Its prime factorisation is 7 × 1721. Divisors (4): 1, 7, 1721, 12047.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12047: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1721, the product of two primes.
- 2
12047 is composite. Its prime factorisation is
- 3
The divisors add up to 13776; without 12047 itself that is 1729, so 12047 is deficient (1729 is less than 12047). Euler's totient φ(12047) = 10320 numbers up to 12047 share no factor with it.
- 4
The digits of 12047 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12047 = 7 \times 1721 \]
12047 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13776 |
| Euler totient φ(n) | 10320 |
| Square | 145130209 |
| Cube | 1748383627823 |
| Square root | 109.758827 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2047 × |
12047 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and forty-seven |
| Binary (base 2) | 10111100001111 |
| Octal (base 8) | 27417 |
| Hexadecimal (base 16) | 2F0F |
| Base 3 | 121112012 |
| As time | 12047 seconds = 3 h 20 min 47 s |
Is 12047 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 | Yes (12047 ÷ 7 = 1721) | 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 2) | 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 12047 a prime number?
No. 12047 = 7 × 1721, so it is divisible by 7.
What are the factors of 12047?
1, 7, 1721, 12047.
What is 12047 in binary?
10111100001111 (hexadecimal 2F0F, octal 27417).
What is the square root of 12047?
About 109.7588.
Is 12047 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 12047?
12047 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1721, the product of two primes.