The number 12220
12220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 47. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 47, 52, 65, 94, 130, 188, 235, 260 … 12220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12220: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12220 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 12220 itself that is 16004, so 12220 is abundant (16004 is more than 12220). Euler's totient φ(12220) = 4416 numbers up to 12220 share no factor with it.
- 4
The digits of 12220 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12220 = 2^{2} \times 5 \times 13 \times 47 \]12220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 4416 |
| Square | 149328400 |
| Cube | 1824793048000 |
| Square root | 110.544109 (= 2√3055) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.222 × |
12220 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and twenty |
| Binary (base 2) | 10111110111100 |
| Octal (base 8) | 27674 |
| Hexadecimal (base 16) | 2FBC |
| Base 3 | 121202121 |
| As time | 12220 seconds = 3 h 23 min 40 s |
Is 12220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12220 ÷ 2 = 6110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12220 ÷ 4 = 3055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12220 ÷ 5 = 2444) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12220 ÷ 10 = 1222) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12220 a prime number?
No. 12220 = × 5 × 13 × 47, so it is divisible by 2.
What are the factors of 12220?
1, 2, 4, 5, 10, 13, 20, 26, 47, 52, 65, 94, 130, 188, 235, 260, 470, 611, 940, 1222, 2444, 3055, 6110, 12220.
What is 12220 in binary?
10111110111100 (hexadecimal 2FBC, octal 27674).
What is the square root of 12220?
About 110.5441, exactly 2√3055.
Is 12220 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 12220?
12220 is a happy number: repeatedly adding the squares of its digits reaches 1.