The number 1222
1222 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 47. Divisors (8): 1, 2, 13, 26, 47, 94, 611, 1222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1222: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1222 is composite. Its prime factorisation is
- 3
The divisors add up to 2016; without 1222 itself that is 794, so 1222 is deficient (794 is less than 1222). Euler's totient φ(1222) = 552 numbers up to 1222 share no factor with it.
- 4
The digits of 1222 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1222 = 2 \times 13 \times 47 \]
1222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2016 |
| Euler totient φ(n) | 552 |
| Square | 1493284 |
| Cube | 1824793048 |
| Square root | 34.957117 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 1.222 × |
1222 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and twenty-two |
| Roman numerals | MCCXXII |
| Binary (base 2) | 10011000110 |
| Octal (base 8) | 2306 |
| Hexadecimal (base 16) | 4C6 |
| Base 3 | 1200021 |
| As time | 1222 seconds = 20 min 22 s |
Is 1222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1222 ÷ 2 = 611) | 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 | No (remainder 2) | 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 4) | 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 6) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1222 a prime number?
No. 1222 = 2 × 13 × 47, so it is divisible by 2.
What are the factors of 1222?
1, 2, 13, 26, 47, 94, 611, 1222.
What is 1222 in binary?
10011000110 (hexadecimal 4C6, octal 2306).
What is the square root of 1222?
About 34.9571.
What is 1222 in Roman numerals?
MCCXXII.
Is 1222 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1222?
1222 is a happy number: repeatedly adding the squares of its digits reaches 1.