The number 13228
13228 is a composite number with 6 divisors. Its prime factorisation is × 3307. Divisors (6): 1, 2, 4, 3307, 6614, 13228.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13228: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13228 is composite. Its prime factorisation is
- 3
The divisors add up to 23156; without 13228 itself that is 9928, so 13228 is deficient (9928 is less than 13228). Euler's totient φ(13228) = 6612 numbers up to 13228 share no factor with it.
- 4
The digits of 13228 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13228 = 2^{2} \times 3307 \]13228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23156 |
| Euler totient φ(n) | 6612 |
| Square | 174979984 |
| Cube | 2314635228352 |
| Square root | 115.013043 (= 2√3307) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3228 × |
13228 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and twenty-eight |
| Binary (base 2) | 11001110101100 |
| Octal (base 8) | 31654 |
| Hexadecimal (base 16) | 33AC |
| Base 3 | 200010221 |
| As time | 13228 seconds = 3 h 40 min 28 s |
Is 13228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13228 ÷ 2 = 6614) | 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 (13228 ÷ 4 = 3307) | 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 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 13228 a prime number?
No. 13228 = × 3307, so it is divisible by 2.
What are the factors of 13228?
1, 2, 4, 3307, 6614, 13228.
What is 13228 in binary?
11001110101100 (hexadecimal 33AC, octal 31654).
What is the square root of 13228?
About 115.0130, exactly 2√3307.
Is 13228 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13228?
13228 is a happy number: repeatedly adding the squares of its digits reaches 1.