The number 234
234 is a composite number with 12 divisors. Its prime factorisation is 2 × × 13. Divisors (12): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 234: a Harshad number: divisible by its digit sum 9.
- 2
234 is composite. Its prime factorisation is
- 3
The divisors add up to 546; without 234 itself that is 312, so 234 is abundant (312 is more than 234). Euler's totient φ(234) = 72 numbers up to 234 share no factor with it.
- 4
The digits of 234 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 234 = 2 \times 3^{2} \times 13 \]234 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 546 |
| Euler totient φ(n) | 72 |
| Square | 54756 |
| Cube | 12812904 |
| Square root | 15.297059 (= 3√26) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 21 |
| Scientific notation | 2.34 × |
234 in other forms
| Form | Value |
|---|---|
| In words | two hundred and thirty-four |
| Roman numerals | CCXXXIV |
| Binary (base 2) | 11101010 |
| Octal (base 8) | 352 |
| Hexadecimal (base 16) | EA |
| Base 3 | 22200 |
| As time | 234 seconds = 3 min 54 s |
Is 234 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (234 ÷ 2 = 117) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (234 ÷ 3 = 78) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (234 ÷ 6 = 39) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (234 ÷ 9 = 26) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 234 a prime number?
No. 234 = 2 × × 13, so it is divisible by 2.
What are the factors of 234?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
What is 234 in binary?
11101010 (hexadecimal EA, octal 352).
What is the square root of 234?
About 15.2971, exactly 3√26.
What is 234 in Roman numerals?
CCXXXIV.
Is 234 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 234?
234 is a Harshad number: divisible by its digit sum 9.