The number 338
338 is a composite number with 6 divisors. Its prime factorisation is 2 Ć . Divisors (6): 1, 2, 13, 26, 169, 338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 338: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
338 is composite. Its prime factorisation is
- 3
The divisors add up to 549; without 338 itself that is 211, so 338 is deficient (211 is less than 338). Euler's totient Ļ(338) = 156 numbers up to 338 share no factor with it.
- 4
The digits of 338 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 338 = 2 \times 13^{2} \]338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 549 |
| Euler totient Ļ(n) | 156 |
| Square | 114244 |
| Cube | 38614472 |
| Square root | 18.384776 (= 13ā2) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 3.38 Ć |
338 in other forms
| Form | Value |
|---|---|
| In words | three hundred and thirty-eight |
| Roman numerals | CCCXXXVIII |
| Binary (base 2) | 101010010 |
| Octal (base 8) | 522 |
| Hexadecimal (base 16) | 152 |
| Base 3 | 110112 |
| As time | 338 seconds = 5 min 38 s |
Is 338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (338 Ć· 2 = 169) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 338 a prime number?
No. 338 = 2 Ć , so it is divisible by 2.
What are the factors of 338?
1, 2, 13, 26, 169, 338.
What is 338 in binary?
101010010 (hexadecimal 152, octal 522).
What is the square root of 338?
About 18.3848, exactly 13ā2.
What is 338 in Roman numerals?
CCCXXXVIII.
Is 338 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 338?
338 is a happy number: repeatedly adding the squares of its digits reaches 1.