The number 1267
1267 is a composite number with 4 divisors. Its prime factorisation is 7 × 181. Divisors (4): 1, 7, 181, 1267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1267: a semiprime: 7 × 181, the product of two primes.
- 2
1267 is composite. Its prime factorisation is
- 3
The divisors add up to 1456; without 1267 itself that is 189, so 1267 is deficient (189 is less than 1267). Euler's totient φ(1267) = 1080 numbers up to 1267 share no factor with it.
- 4
The digits of 1267 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1267 = 7 \times 181 \]
1267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1456 |
| Euler totient φ(n) | 1080 |
| Square | 1605289 |
| Cube | 2033901163 |
| Square root | 35.594943 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.267 × |
1267 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and sixty-seven |
| Roman numerals | MCCLXVII |
| Binary (base 2) | 10011110011 |
| Octal (base 8) | 2363 |
| Hexadecimal (base 16) | 4F3 |
| Base 3 | 1201221 |
| As time | 1267 seconds = 21 min 7 s |
Is 1267 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1267 ÷ 7 = 181) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1267 a prime number?
No. 1267 = 7 × 181, so it is divisible by 7.
What are the factors of 1267?
1, 7, 181, 1267.
What is 1267 in binary?
10011110011 (hexadecimal 4F3, octal 2363).
What is the square root of 1267?
About 35.5949.
What is 1267 in Roman numerals?
MCCLXVII.
Is 1267 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1267?
1267 is a semiprime: 7 × 181, the product of two primes.