The number 267
267 is a composite number with 4 divisors. Its prime factorisation is 3 × 89. Divisors (4): 1, 3, 89, 267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 267: a semiprime: 3 × 89, the product of two primes.
- 2
267 is composite. Its prime factorisation is
- 3
The divisors add up to 360; without 267 itself that is 93, so 267 is deficient (93 is less than 267). Euler's totient φ(267) = 176 numbers up to 267 share no factor with it.
- 4
The digits of 267 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 267 = 3 \times 89 \]
267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 360 |
| Euler totient φ(n) | 176 |
| Square | 71289 |
| Cube | 19034163 |
| Square root | 16.340135 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 21 |
| Scientific notation | 2.67 × |
267 in other forms
| Form | Value |
|---|---|
| In words | two hundred and sixty-seven |
| Roman numerals | CCLXVII |
| Binary (base 2) | 100001011 |
| Octal (base 8) | 413 |
| Hexadecimal (base 16) | 10B |
| Base 3 | 100220 |
| As time | 267 seconds = 4 min 27 s |
Is 267 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 (267 ÷ 3 = 89) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 267 a prime number?
No. 267 = 3 × 89, so it is divisible by 3.
What are the factors of 267?
1, 3, 89, 267.
What is 267 in binary?
100001011 (hexadecimal 10B, octal 413).
What is the square root of 267?
About 16.3401.
What is 267 in Roman numerals?
CCLXVII.
Is 267 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 267?
267 is a semiprime: 3 × 89, the product of two primes.