The number 236
236 is a composite number with 6 divisors. Its prime factorisation is × 59. Divisors (6): 1, 2, 4, 59, 118, 236.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 236: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
236 is composite. Its prime factorisation is
- 3
The divisors add up to 420; without 236 itself that is 184, so 236 is deficient (184 is less than 236). Euler's totient φ(236) = 116 numbers up to 236 share no factor with it.
- 4
The digits of 236 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 236 = 2^{2} \times 59 \]236 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 420 |
| Euler totient φ(n) | 116 |
| Square | 55696 |
| Cube | 13144256 |
| Square root | 15.362291 (= 2√59) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 2.36 × |
236 in other forms
| Form | Value |
|---|---|
| In words | two hundred and thirty-six |
| Roman numerals | CCXXXVI |
| Binary (base 2) | 11101100 |
| Octal (base 8) | 354 |
| Hexadecimal (base 16) | EC |
| Base 3 | 22202 |
| As time | 236 seconds = 3 min 56 s |
Is 236 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (236 ÷ 2 = 118) | 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 | Yes (236 ÷ 4 = 59) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 236 a prime number?
No. 236 = × 59, so it is divisible by 2.
What are the factors of 236?
1, 2, 4, 59, 118, 236.
What is 236 in binary?
11101100 (hexadecimal EC, octal 354).
What is the square root of 236?
About 15.3623, exactly 2√59.
What is 236 in Roman numerals?
CCXXXVI.
Is 236 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 236?
236 is a happy number: repeatedly adding the squares of its digits reaches 1.