The number 2967
2967 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 43. Divisors (8): 1, 3, 23, 43, 69, 129, 989, 2967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2967 is composite. Its prime factorisation is
- 3
The divisors add up to 4224; without 2967 itself that is 1257, so 2967 is deficient (1257 is less than 2967). Euler's totient φ(2967) = 1848 numbers up to 2967 share no factor with it.
- 4
The digits of 2967 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2967 = 3 \times 23 \times 43 \]
2967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4224 |
| Euler totient φ(n) | 1848 |
| Square | 8803089 |
| Cube | 26118765063 |
| Square root | 54.470175 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 141 |
| Scientific notation | 2.967 × |
2967 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and sixty-seven |
| Roman numerals | MMCMLXVII |
| Binary (base 2) | 101110010111 |
| Octal (base 8) | 5627 |
| Hexadecimal (base 16) | B97 |
| Base 3 | 11001220 |
| As time | 2967 seconds = 49 min 27 s |
Is 2967 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 (2967 ÷ 3 = 989) | 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 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 7) | 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 8) | 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 2967 a prime number?
No. 2967 = 3 × 23 × 43, so it is divisible by 3.
What are the factors of 2967?
1, 3, 23, 43, 69, 129, 989, 2967.
What is 2967 in binary?
101110010111 (hexadecimal B97, octal 5627).
What is the square root of 2967?
About 54.4702.
What is 2967 in Roman numerals?
MMCMLXVII.
Is 2967 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 2967?
It is a composite number with 8 divisors.