The number 12267
12267 is a composite number with 12 divisors. Its prime factorisation is × 29 × 47. Divisors (12): 1, 3, 9, 29, 47, 87, 141, 261, 423, 1363, 4089, 12267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12267: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12267 is composite. Its prime factorisation is
- 3
The divisors add up to 18720; without 12267 itself that is 6453, so 12267 is deficient (6453 is less than 12267). Euler's totient φ(12267) = 7728 numbers up to 12267 share no factor with it.
- 4
The digits of 12267 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12267 = 3^{2} \times 29 \times 47 \]12267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18720 |
| Euler totient φ(n) | 7728 |
| Square | 150479289 |
| Cube | 1845929438163 |
| Square root | 110.756490 (= 3√1363) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2267 × |
12267 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and sixty-seven |
| Binary (base 2) | 10111111101011 |
| Octal (base 8) | 27753 |
| Hexadecimal (base 16) | 2FEB |
| Base 3 | 121211100 |
| As time | 12267 seconds = 3 h 24 min 27 s |
Is 12267 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 (12267 ÷ 3 = 4089) | 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 | No (remainder 3) | 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 | Yes (12267 ÷ 9 = 1363) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12267 a prime number?
No. 12267 = × 29 × 47, so it is divisible by 3.
What are the factors of 12267?
1, 3, 9, 29, 47, 87, 141, 261, 423, 1363, 4089, 12267.
What is 12267 in binary?
10111111101011 (hexadecimal 2FEB, octal 27753).
What is the square root of 12267?
About 110.7565, exactly 3√1363.
Is 12267 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12267?
12267 is a happy number: repeatedly adding the squares of its digits reaches 1.