The number 2067
2067 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 53. Divisors (8): 1, 3, 13, 39, 53, 159, 689, 2067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2067 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 2067 itself that is 957, so 2067 is deficient (957 is less than 2067). Euler's totient φ(2067) = 1248 numbers up to 2067 share no factor with it.
- 4
The digits of 2067 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2067 = 3 \times 13 \times 53 \]
2067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 1248 |
| Square | 4272489 |
| Cube | 8831234763 |
| Square root | 45.464272 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 2.067 × |
2067 in other forms
| Form | Value |
|---|---|
| In words | two thousand and sixty-seven |
| Roman numerals | MMLXVII |
| Binary (base 2) | 100000010011 |
| Octal (base 8) | 4023 |
| Hexadecimal (base 16) | 813 |
| Base 3 | 2211120 |
| As time | 2067 seconds = 34 min 27 s |
Is 2067 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 (2067 ÷ 3 = 689) | 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 2) | 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 10) | 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 2067 a prime number?
No. 2067 = 3 × 13 × 53, so it is divisible by 3.
What are the factors of 2067?
1, 3, 13, 39, 53, 159, 689, 2067.
What is 2067 in binary?
100000010011 (hexadecimal 813, octal 4023).
What is the square root of 2067?
About 45.4643.
What is 2067 in Roman numerals?
MMLXVII.
Is 2067 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2067?
It is a composite number with 8 divisors.