The number 238
238 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 17. Divisors (8): 1, 2, 7, 14, 17, 34, 119, 238.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
238 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
238 is composite. Its prime factorisation is
- 3
The divisors add up to 432; without 238 itself that is 194, so 238 is deficient (194 is less than 238). Euler's totient φ(238) = 96 numbers up to 238 share no factor with it.
- 4
The digits of 238 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 238 = 2 \times 7 \times 17 \]
238 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 432 |
| Euler totient φ(n) | 96 |
| Square | 56644 |
| Cube | 13481272 |
| Square root | 15.427249 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 2.38 × |
238 in other forms
| Form | Value |
|---|---|
| In words | two hundred and thirty-eight |
| Roman numerals | CCXXXVIII |
| Binary (base 2) | 11101110 |
| Octal (base 8) | 356 |
| Hexadecimal (base 16) | EE |
| Base 3 | 22211 |
| As time | 238 seconds = 3 min 58 s |
Is 238 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (238 ÷ 2 = 119) | 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 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 | Yes (238 ÷ 7 = 34) | 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 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 238 a prime number?
No. 238 = 2 × 7 × 17, so it is divisible by 2.
What are the factors of 238?
1, 2, 7, 14, 17, 34, 119, 238.
What is 238 in binary?
11101110 (hexadecimal EE, octal 356).
What is the square root of 238?
About 15.4272.
What is 238 in Roman numerals?
CCXXXVIII.
Is 238 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 238?
It is a composite number with 8 divisors.