The number 273
273 is a binary palindrome (100010001). Its prime factorisation is 3 × 7 × 13. Divisors (8): 1, 3, 7, 13, 21, 39, 91, 273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 273: a binary palindrome (100010001).
- 2
273 is composite. Its prime factorisation is
- 3
The divisors add up to 448; without 273 itself that is 175, so 273 is deficient (175 is less than 273). Euler's totient φ(273) = 144 numbers up to 273 share no factor with it.
- 4
The digits of 273 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 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 273 = 3 \times 7 \times 13 \]
273 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 448 |
| Euler totient φ(n) | 144 |
| Square | 74529 |
| Cube | 20346417 |
| Square root | 16.522712 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 29 |
| Scientific notation | 2.73 × |
273 in other forms
| Form | Value |
|---|---|
| In words | two hundred and seventy-three |
| Roman numerals | CCLXXIII |
| Binary (base 2) | 100010001 |
| Octal (base 8) | 421 |
| Hexadecimal (base 16) | 111 |
| Base 3 | 101010 |
| As time | 273 seconds = 4 min 33 s |
Is 273 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 (273 ÷ 3 = 91) | 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 3) | 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 | Yes (273 ÷ 7 = 39) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 273 a prime number?
No. 273 = 3 × 7 × 13, so it is divisible by 3.
What are the factors of 273?
1, 3, 7, 13, 21, 39, 91, 273.
What is 273 in binary?
100010001 (hexadecimal 111, octal 421).
What is the square root of 273?
About 16.5227.
What is 273 in Roman numerals?
CCLXXIII.
Is 273 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 273?
273 is a binary palindrome (100010001).