The number 237
237 is a composite number with 4 divisors. Its prime factorisation is 3 × 79. Divisors (4): 1, 3, 79, 237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 237: a semiprime: 3 × 79, the product of two primes.
- 2
237 is composite. Its prime factorisation is
- 3
The divisors add up to 320; without 237 itself that is 83, so 237 is deficient (83 is less than 237). Euler's totient φ(237) = 156 numbers up to 237 share no factor with it.
- 4
The digits of 237 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 237 = 3 \times 79 \]
237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 320 |
| Euler totient φ(n) | 156 |
| Square | 56169 |
| Cube | 13312053 |
| Square root | 15.394804 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 2.37 × |
237 in other forms
| Form | Value |
|---|---|
| In words | two hundred and thirty-seven |
| Roman numerals | CCXXXVII |
| Binary (base 2) | 11101101 |
| Octal (base 8) | 355 |
| Hexadecimal (base 16) | ED |
| Base 3 | 22210 |
| As time | 237 seconds = 3 min 57 s |
Is 237 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (237 ÷ 3 = 79) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 237 a prime number?
No. 237 = 3 × 79, so it is divisible by 3.
What are the factors of 237?
1, 3, 79, 237.
What is 237 in binary?
11101101 (hexadecimal ED, octal 355).
What is the square root of 237?
About 15.3948.
What is 237 in Roman numerals?
CCXXXVII.
Is 237 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 237?
237 is a semiprime: 3 × 79, the product of two primes.