The number 1228
1228 is a composite number with 6 divisors. Its prime factorisation is × 307. Divisors (6): 1, 2, 4, 307, 614, 1228.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1228 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1228 is composite. Its prime factorisation is
- 3
The divisors add up to 2156; without 1228 itself that is 928, so 1228 is deficient (928 is less than 1228). Euler's totient φ(1228) = 612 numbers up to 1228 share no factor with it.
- 4
The digits of 1228 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1228 = 2^{2} \times 307 \]1228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2156 |
| Euler totient φ(n) | 612 |
| Square | 1507984 |
| Cube | 1851804352 |
| Square root | 35.042831 (= 2√307) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 1.228 × |
1228 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and twenty-eight |
| Roman numerals | MCCXXVIII |
| Binary (base 2) | 10011001100 |
| Octal (base 8) | 2314 |
| Hexadecimal (base 16) | 4CC |
| Base 3 | 1200111 |
| As time | 1228 seconds = 20 min 28 s |
Is 1228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1228 ÷ 2 = 614) | 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 (1228 ÷ 4 = 307) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 1228 a prime number?
No. 1228 = × 307, so it is divisible by 2.
What are the factors of 1228?
1, 2, 4, 307, 614, 1228.
What is 1228 in binary?
10011001100 (hexadecimal 4CC, octal 2314).
What is the square root of 1228?
About 35.0428, exactly 2√307.
What is 1228 in Roman numerals?
MCCXXVIII.
Is 1228 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1228?
It is a composite number with 6 divisors.