The number 1273
1273 is a binary palindrome (10011111001). Its prime factorisation is 19 × 67. Divisors (4): 1, 19, 67, 1273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1273: a binary palindrome (10011111001); a semiprime: 19 × 67, the product of two primes.
- 2
1273 is composite. Its prime factorisation is
- 3
The divisors add up to 1360; without 1273 itself that is 87, so 1273 is deficient (87 is less than 1273). Euler's totient φ(1273) = 1188 numbers up to 1273 share no factor with it.
- 4
The digits of 1273 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 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1273 = 19 \times 67 \]
1273 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1360 |
| Euler totient φ(n) | 1188 |
| Square | 1620529 |
| Cube | 2062933417 |
| Square root | 35.679126 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.273 × |
1273 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and seventy-three |
| Roman numerals | MCCLXXIII |
| Binary (base 2) | 10011111001 |
| Octal (base 8) | 2371 |
| Hexadecimal (base 16) | 4F9 |
| Base 3 | 1202011 |
| As time | 1273 seconds = 21 min 13 s |
Is 1273 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 | No (remainder 1) | 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 1) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1273 a prime number?
No. 1273 = 19 × 67, so it is divisible by 19.
What are the factors of 1273?
1, 19, 67, 1273.
What is 1273 in binary?
10011111001 (hexadecimal 4F9, octal 2371).
What is the square root of 1273?
About 35.6791.
What is 1273 in Roman numerals?
MCCLXXIII.
Is 1273 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1273?
1273 is a binary palindrome (10011111001); a semiprime: 19 × 67, the product of two primes.