The number 12627
12627 is a composite number with 12 divisors. Its prime factorisation is × 23 × 61. Divisors (12): 1, 3, 9, 23, 61, 69, 183, 207, 549, 1403, 4209, 12627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12627: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12627 is composite. Its prime factorisation is
- 3
The divisors add up to 19344; without 12627 itself that is 6717, so 12627 is deficient (6717 is less than 12627). Euler's totient φ(12627) = 7920 numbers up to 12627 share no factor with it.
- 4
The digits of 12627 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12627 = 3^{2} \times 23 \times 61 \]12627 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19344 |
| Euler totient φ(n) | 7920 |
| Square | 159441129 |
| Cube | 2013263135883 |
| Square root | 112.369925 (= 3√1403) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.2627 × |
12627 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand six hundred and twenty-seven |
| Binary (base 2) | 11000101010011 |
| Octal (base 8) | 30523 |
| Hexadecimal (base 16) | 3153 |
| Base 3 | 122022200 |
| As time | 12627 seconds = 3 h 30 min 27 s |
Is 12627 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 (12627 ÷ 3 = 4209) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12627 ÷ 9 = 1403) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12627 a prime number?
No. 12627 = × 23 × 61, so it is divisible by 3.
What are the factors of 12627?
1, 3, 9, 23, 61, 69, 183, 207, 549, 1403, 4209, 12627.
What is 12627 in binary?
11000101010011 (hexadecimal 3153, octal 30523).
What is the square root of 12627?
About 112.3699, exactly 3√1403.
Is 12627 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12627?
12627 is a happy number: repeatedly adding the squares of its digits reaches 1.