The number 2167
2167 is a composite number with 4 divisors. Its prime factorisation is 11 × 197. Divisors (4): 1, 11, 197, 2167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2167: a semiprime: 11 × 197, the product of two primes.
- 2
2167 is composite. Its prime factorisation is
- 3
The divisors add up to 2376; without 2167 itself that is 209, so 2167 is deficient (209 is less than 2167). Euler's totient φ(2167) = 1960 numbers up to 2167 share no factor with it.
- 4
The digits of 2167 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2167 = 11 \times 197 \]
2167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2376 |
| Euler totient φ(n) | 1960 |
| Square | 4695889 |
| Cube | 10175991463 |
| Square root | 46.551047 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 2.167 × |
2167 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and sixty-seven |
| Roman numerals | MMCLXVII |
| Binary (base 2) | 100001110111 |
| Octal (base 8) | 4167 |
| Hexadecimal (base 16) | 877 |
| Base 3 | 2222021 |
| As time | 2167 seconds = 36 min 7 s |
Is 2167 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 | No (remainder 4) | 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 7) | 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 | Yes (2167 ÷ 11 = 197) | 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 2167 a prime number?
No. 2167 = 11 × 197, so it is divisible by 11.
What are the factors of 2167?
1, 11, 197, 2167.
What is 2167 in binary?
100001110111 (hexadecimal 877, octal 4167).
What is the square root of 2167?
About 46.5510.
What is 2167 in Roman numerals?
MMCLXVII.
Is 2167 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2167?
2167 is a semiprime: 11 × 197, the product of two primes.